\(p\)-Adic Numbers, Ultrametric Analysis, and Applications

Short Title:	\(p\)-Adic Numbers Ultrametric Anal. Appl.
Publisher:	Springer US, New York, NY; Pleiades Publishing, New York, NY; MAIK “Nauka/Interperiodica”, Moscow
ISSN:	2070-0466; 2070-0474/e
Online:	https://link.springer.com/journal/12607/volumes-and-issues
Comments:	Journal; Indexed cover-to-cover

Documents Indexed:	408 Publications (since 2009)
References Indexed:	404 Publications with 9,513 References.

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Authors

26	Khrennikov, Andreĭ Yur’evich
20	Kozyrev, Sergeĭ Vladimirovich
16	Volosivets, Sergeĭ Sergeevich
15	Volovich, Igor’ Vasil’evich
14	Escassut, Alain
12	Dragovich, Branko
9	Albeverio, Sergio A.
9	Dovgoshey, Oleksiy Alfredovich
7	Marcolli, Matilde
7	Petrov, Evgenii Aleksandrovich
7	Sattarov, Iskandar A.
7	Shamseddine, Khodr
7	Zubarev, Aleksandr Petrovich
7	Zúñiga-Galindo, Wilson A.
6	Bikulov, Al’bert Khakimovich
6	Diarra, Bertin
6	Iurato, Giuseppe
6	Khachatryan, Khachatur Aghavardovich
6	Nguyen Minh Chuong
6	Platonov, Sergei S.
6	Rozikov, Utkir A.
5	Bradley, Patrick Erik
5	Chacón-Cortes, Leonardo Fabio
5	Duong, Dao Van
5	Kaneko, Hiroshi
5	Memić, Nacima
5	Murtagh, Fionn D.
4	Casas-Sánchez, Oscar Francisco
4	Digernes, Trond
4	Estala-Arias, Samuel
4	Mukhamedov, Farruh Maksutovich
4	Natarajan, Pinnangudi Narayanasubramanian
4	Vladimirov, Vasiliĭ Sergeevich
4	Zelenov, Evgenii I.
3	Aguayo, José N.
3	Aguilar-Arteaga, Victor A.
3	Anashin, Vladimir Sergeevich
3	Bottazzi, Emanuele
3	Boussaf, Kamal
3	Chatyrko, Vitalij A.
3	Dung, Kieu Huu
3	Galeano-Peñaloza, Jeanneth
3	Khachatryan, Aghavard Khachaturovich
3	Khakimov, Otabek N.
3	Kochubeĭ, Anatoliĭ Naumovych
3	Manin, Yuriĭ Ivanovich
3	Matsumoto, Hisaaki
3	Missarov, Mukadas D.
3	Mounkoro, Tongobè
3	Nova, Miguel
3	Ojeda, Jacqueline
3	Sakbaev, Vsevolod Zhanovich
3	Shelkovich, Vladimir M.
3	Trojovský, Pavel
3	Trushechkin, Anton Sergeevich
3	Varadarajan, Veeravalli S.
3	Vu Hoai An
3	Yasuda, Kumi
2	Accardi, Luigi
2	Aliev, E. T.
2	Aref’eva, Irina Yaroslavna
2	Blanco-Chacón, Iván
2	Cruz-López, Manuel
2	Diagana, Toka
2	Doğan, Mutlay
2	Dupré, Nicolas
2	Farkov, Yuriĭ Anatol’evich
2	Fioresi, Rita
2	Garcia-Bibiano, C. A.
2	Gát, György
2	Glöckner, Helge
2	Hà Huy Khóai
2	Hùng, Lũ’
2	Hussain, Amjad
2	Iijima, Ryota
2	Ishiki, Yoshito
2	Katanaev, Mikhaĭl Orinovich
2	Kchit, Omar
2	Klein, Moshe
2	Kozlov, Valeriĭ Vasil’evich
2	Lapidus, Michel L.
2	Lelis, Jean
2	Lengyel, Tamás
2	Lindahl, Karl-Olof
2	Lukomskiĭ, Sergeĭ Fedorovich
2	Ma, Teng
2	Maïga, Hamadoun
2	Maimon, Oded Z.
2	Mamghaderi, Hamid
2	Marques, Diego
2	Masiha, Hashem Parvaneh
2	Matevosyan, Hovik A.
2	Mingachev, Aleksandr N.
2	Muci, Adrialy
2	Nagel, Enno
2	Ohya, Masanori
2	Olivos, Elena
2	Pechen, Alexander Nikolaevich
2	Qiu, Derong
2	Rakić, Zoran
...and 275 more Authors

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Fields

121	Number theory (11-XX)
77	Functional analysis (46-XX)
60	Quantum theory (81-XX)
50	Harmonic analysis on Euclidean spaces (42-XX)
45	Operator theory (47-XX)
43	Dynamical systems and ergodic theory (37-XX)
38	Probability theory and stochastic processes (60-XX)
35	Field theory and polynomials (12-XX)
32	Real functions (26-XX)
32	Partial differential equations (35-XX)
29	Statistical mechanics, structure of matter (82-XX)
28	General topology (54-XX)
27	Functions of a complex variable (30-XX)
23	Combinatorics (05-XX)
16	Measure and integration (28-XX)
14	Algebraic geometry (14-XX)
14	Computer science (68-XX)
13	Biology and other natural sciences (92-XX)
11	Relativity and gravitational theory (83-XX)
10	Abstract harmonic analysis (43-XX)
9	History and biography (01-XX)
9	Nonassociative rings and algebras (17-XX)
9	Numerical analysis (65-XX)
9	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9	Information and communication theory, circuits (94-XX)
8	Topological groups, Lie groups (22-XX)
8	Differential geometry (53-XX)
7	Sequences, series, summability (40-XX)
6	Mathematical logic and foundations (03-XX)
6	Group theory and generalizations (20-XX)
6	Statistics (62-XX)
5	Several complex variables and analytic spaces (32-XX)
5	Integral equations (45-XX)
5	Global analysis, analysis on manifolds (58-XX)
5	Mechanics of particles and systems (70-XX)
3	General and overarching topics; collections (00-XX)
3	Associative rings and algebras (16-XX)
3	Category theory; homological algebra (18-XX)
3	Potential theory (31-XX)
3	Ordinary differential equations (34-XX)
3	Approximations and expansions (41-XX)
3	Manifolds and cell complexes (57-XX)
3	Operations research, mathematical programming (90-XX)
2	Order, lattices, ordered algebraic structures (06-XX)
2	Commutative algebra (13-XX)
2	Difference and functional equations (39-XX)
2	Fluid mechanics (76-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	Special functions (33-XX)
1	Integral transforms, operational calculus (44-XX)
1	Geometry (51-XX)
1	Algebraic topology (55-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

270 Publications have been cited 1,858 times in 941 Documents	Cited by ▼	Year ▼
On \(p\)-adic mathematical physics. Zbl 1187.81004 Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V.	176	2009
Number theory as the ultimate physical theory. Zbl 1258.81074 Volovich, Igor V.	94	2010
\(p\)-adic mathematical physics: the first 30 years. Zbl 1394.81009 Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V.; Zelenov, E. I.	63	2017
A \(p\)-adic model of DNA sequence and genetic code. Zbl 1187.92039 Dragovich, B.; Dragovich, A. Yu.	49	2009
\(p\)-adic valued quantization. Zbl 1187.81137 Albeverio, Sergio; Cianci, Roberto; Khrennikov, Andrei Yu.	31	2009
On \(p\)-adic quasi Gibbs measures for \(q+1\)-state Potts model on the Cayley tree. Zbl 1268.82007 Mukhamedov, Farrukh	27	2010
Using grossone to count the number of elements of infinite sets and the connection with bijections. Zbl 1259.03064 Margenstern, Maurice	26	2011
Multidimensional basis of \(p\)-adic wavelets and representation theory. Zbl 1187.42030 Albeverio, Sergio; Kozyrev, Sergei V.	25	2009
van der Put basis and \(p\)-adic dynamics. Zbl 1250.37037 Yurova, Ekaterina	24	2010
Multidimensional Hausdorff operator on \(p\)-adic field. Zbl 1287.47059 Volosivets, S. S.	24	2010
Diameter and diametrical pairs of points in ultrametric spaces. Zbl 1304.54049 Dordovskyi, Dmitry; Dovgoshey, Oleksiy; Petrov, Eugeniy	24	2011
\(p\)-adic orthogonal wavelet bases. Zbl 1187.42033 Khrennikov, A. Yu.; Shelkovich, V. M.; Skopina, M.	23	2009
Digraph representations of rational functions over the \(p\)-adic numbers. Zbl 1259.37065 Diao, Hansheng; Silva, Cesar E.	22	2011
On accuracy of mathematical languages used to deal with the Riemann zeta function and the Dirichlet eta function. Zbl 1268.11114 Sergeyev, Yaroslav D.	20	2011
Weighted Hardy-Littlewood operators and commutators on \(p\)-adic functional spaces. Zbl 1271.42029 Chuong, N. M.; Duong, D. V.	18	2013
Hausdorff operator of special kind in Morrey and Herz \(p\)-adic spaces. Zbl 1271.42038 Volosivets, S. S.	17	2012
Non-Archimedean pseudodifferential operators and Feller semigroups. Zbl 1461.35259 Torresblanca-Badillo, Anselmo; Zúñiga-Galindo, W. A.	17	2018
On the equations for \(p\) -adic closed and open strings. Zbl 1187.35305 Vladimirov, V. S.	16	2009
Automata finiteness criterion in terms of van der Put series of automata functions. Zbl 1262.11045 Anashin, V.	16	2012
Some pathways in non-linear supersymmetry: special geometry Born-Infeld’s, cosmology and dualities. Zbl 1337.81069 Ferrara, Sergio; Sagnotti, A.	15	2015
Frames of \(p\)-adic wavelets and orbits of the affine group. Zbl 1187.42029 Albeverio, S.; Kozyrev, S. V.	15	2009
Dynamics on rugged landscapes of energy and ultrametric diffusion. Zbl 1253.82040 Kozyrev, Sergei V.	15	2010
Trees and ultrametric Möbius structures. Zbl 1387.53022 Beyrer, Jonas; Schroeder, Victor	15	2017
On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148 Rozikov, U. A.; Sattarov, I. A.	14	2014
On spaces extremal for the Gomory-Hu inequality. Zbl 1343.05072 Dovgoshey, O.; Petrov, E.; Teichert, H.-M.	14	2015
The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces. Zbl 1478.42022 Hussain, Amjad; Sarfraz, Naqash	14	2019
An infinite family of \(p\)-adic non-Haar wavelet bases and pseudo-differential operators. Zbl 1187.42034 Khrennikov, Andrei Yu.; Shelkovich, Vladimir M.	14	2009
Cyclotomy and endomotives. Zbl 1236.46067 Marcolli, Matilde	14	2009
Geometry of non-Archimedean Gromov-Hausdorff distance. Zbl 1253.53041 Qiu, Derong	14	2009
Ultrametricity and metric betweenness in tangent spaces to metric spaces. Zbl 1276.53052 Dovgoshey, Oleksiy; Dordovskyi, Dmytro	14	2010
Algorithms for wavelet construction on Vilenkin groups. Zbl 1254.42044 Farkov, Yuri A.; Rodionov, Evgeny A.	14	2011
\(p\)-adic elliptic quadratic forms, parabolic-type pseudodifferential equations with variable coefficients and Markov processes. Zbl 1317.35309 Casas-Sánchez, O. F.; Zúñiga-Galindo, W. A.	13	2014
On a generalized \(p\)-adic Gibbs measure for Ising model on trees. Zbl 1311.82011 Khakimov, O. N.	13	2014
On measure-preserving functions over \(\mathbb Z_3\). Zbl 1291.37122 Yurova, Ekaterina	13	2012
Weak similarities of finite ultrametric and semimetric spaces. Zbl 1403.54019 Petrov, Evgeniy	13	2018
Order, type and cotype of growth for \(p\)-adic entire functions: a survey with additional properties. Zbl 1432.30031 Boussaf, Kamal; Boutabaa, Abdelbaki; Escassut, Alain	13	2016
Functional classical mechanics and rational numbers. Zbl 1387.70003 Trushechkin, Anton S.; Volovich, Igor V.	13	2009
\(p\)-adic renormalization group solutions and the Euclidean renormalization group conjectures. Zbl 1251.81047 Missarov, M. D.	13	2012
From isomorphic rooted trees to isometric ultrametric spaces. Zbl 1435.54011 Dovgoshey, Oleksiy; Petrov, Evgeniy	13	2018
The \(p\)-adic weighted Hardy-Cesàro operators on weighted Morrey-Herz space. Zbl 1369.47080 Chuong, N. M.; Duong, D. V.	13	2016
On \(p\)-adic Gibbs measures for Ising model with four competing interactions. Zbl 1285.82013 Khakimov, O. N.	12	2013
An embedding, an extension, and an interpolation of ultrametrics. Zbl 1481.54025 Ishiki, Yoshito	12	2021
Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space. Zbl 1496.42034 Volosivets, S. S.	12	2017
On periodic Gibbs measures of \(p\)-adic Potts model on a Cayley tree. Zbl 1356.82022 Mukhamedov, F.; Khakimov, O.	12	2016
Hysteresis model of unconscious-conscious interconnection: exploring dynamics on \(m\)-adic trees. Zbl 1336.91061 Iurato, Giuseppe; Khrennikov, Andrei	11	2015
\(p\)-adic (3, 2)-rational dynamical systems. Zbl 1347.37149 Sattarov, I. A.	11	2015
Finite ultrametric balls. Zbl 1432.54027 Dovgoshey, Oleksiy	11	2019
On spaces of \(p\)-adic vector measures. Zbl 1188.46029 Katsaras, A. K.	11	2009
On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains. Zbl 1375.31010 Matevossian, Hovik A.	11	2017
Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\). Zbl 1273.42036 King, Emily J.; Skopina, Maria A.	11	2010
An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups. Zbl 1388.43004 Platonov, Sergey S.	11	2017
On solutions of the Dirichlet problem for the polyharmonic equation in unbounded domains. Zbl 1325.35032 Matevossian, H. A.	10	2015
Twisted spectral triples and quantum statistical mechanical systems. Zbl 1315.58006 Greenfield, M.; Marcolli, M.; Teh, K.	10	2014
Recurrence equations over trees in a non-Archimedean context. Zbl 1420.47027 Mukhamedov, F.	10	2014
Properties and morphisms of finite ultrametric spaces and their representing trees. Zbl 1433.54015 Dovgoshey, Oleksiy; Petrov, Evgeniy	10	2019
Value sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean field. Zbl 1367.30034 Vu Hoai An; Pham Ngoc Hoa; Ha Huy Khoai	10	2017
The comb representation of compact ultrametric spaces. Zbl 1379.54023 Lambert, Amaury; Uribe Bravo, Gerónimo	10	2017
Cognitive processes of the brain: an ultrametric model of information dynamics in unconsciousness. Zbl 1354.91125 Khrennikov, A. Yu.	9	2014
Completeness in generalized ultrametric spaces. Zbl 1320.54017 Ackerman, N. L.	9	2013
Multipliers for the symmetry groups of \(p\)-adic spacetime. Zbl 1187.81141 Varadarajan, V. S.	9	2009
Some aspects of \(m\)-adic analysis and its applications to \(m\)-adic stochastic processes. Zbl 1268.60076 Dolgopolov, Mikhail V.; Zubarev, Alexander P.	9	2011
An analogue of the Titchmarsh theorem for the Fourier transform on the group of \(p\)-adic numbers. Zbl 1409.11116 Platonov, Sergey S.	9	2017
Finite approximations of physical models over local fields. Zbl 1345.47067 Bakken, Erik Maki; Digernes, T.	8	2015
Invariant ultrametrics and Markov processes on the finite adèle ring of \(\mathbb{Q}\). Zbl 1370.11127 Cruz-López, Manuel; Estala-Arias, Samuel	8	2016
Maximal function and Riesz potential on \(p\)-adic linear spaces. Zbl 1284.42044 Volosivets, S. S.	8	2013
The structures of Hausdorff metric in non-Archimedean spaces. Zbl 1318.54015 Qiu, Derong	8	2014
On \(p\)-adic classification. Zbl 1250.68221 Bradley, Patrick Erik	8	2009
Modelling of psychological behavior on the basis of ultrametric mental space: encoding of categories by balls. Zbl 1260.91221 Khrennikov, Andrei Yu.	8	2010
Hausdorff operator of special kind on \(p\)-adic field and \(BMO\)-type spaces. Zbl 1254.42011 Volosivets, S. S.	8	2011
Formal foundations for the origins of human consciousness. Zbl 1407.91210 Iurato, Giuseppe; Khrennikov, Andrei; Murtagh, F.	8	2016
Ergodic polynomials on subsets of \(p\)-adic integers. Zbl 1347.37146 Memić, N.	7	2016
Wavelet bases in the Lebesgue spaces on the field of \(p\)-adic numbers. Zbl 1322.46014 Chuong, N. M.; Duong, D. V.	7	2013
Ultrametric preserving functions and weak similarities of ultrametric spaces. Zbl 1485.54037 Bilet, Viktoriia; Dovgoshey, Oleksiy; Shanin, Ruslan	7	2021
Heat kernels for isotropic-like Markov generators on ultrametric spaces: a survey. Zbl 1428.46047 Bendikov, Alexander	7	2018
Multidimensional \(p\)-adic wavelets for the deformed metric. Zbl 1257.42045 Albeverio, Sergio; Kozyrev, Sergei V.	7	2010
Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields. Zbl 1268.11153 Zúñiga-Galindo, W. A.	7	2011
Measure-preservation and the existence of a root of \(p\)-adic 1-Lipschitz functions in Mahler’s expansion. Zbl 1425.26022 Jeong, Sangtae	7	2018
\(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105 Rozikov, U. A.; Sattarov, I. A.; Yam, S.	7	2019
Generalized fractional integrals in \(p\)-adic Morrey and Herz spaces. Zbl 1410.46058 Volosivets, S. S.	7	2017
Bounds of \(p\)-adic weighted Hardy-Cesàro operators and their commutators on \(p\)-adic weighted spaces of Morrey types. Zbl 1371.42015 Nguyen Minh Chuong; Ha Duy Hung; Nguyen Thi Hong	7	2016
\(p\)-adic probability logics. Zbl 1353.03013 Ilić Stepić, A.; Ognjanović, Z.; Ikodinović, N.; Perović, A.	7	2016
On stochastic generation of ultrametrics in high-dimensional Euclidean spaces. Zbl 1315.60020 Zubarev, A. P.	6	2014
On ergodicity of \(p\)-adic dynamical systems for arbitrary prime \(p\). Zbl 1302.37063 Yurova, E.	6	2013
Variable exponent Lebesgue spaces and Hardy-Littlewood maximal function on \(p\)-adic numbers. Zbl 1451.42025 Chacón-Cortés, Leonardo Fabio; Rafeiro, Humberto	6	2020
Non periodic \(p\)-adic generalized Gibbs measure for Ising model. Zbl 1437.82009 Rahmatullaev, Muzaffar; Tukhtabaev, Akbarkhuja	6	2019
On some extremal properties of finite ultrametric spaces. Zbl 1473.54027 Dovgoshey, Oleksiy; Petrov, Evgeniy	6	2020
Optimal weak type estimates for \(p\)-adic Hardy operators. Zbl 1434.42034 Hussain, Amjad; Sarfraz, Naqash	6	2020
From data to the \(p\)-adic or ultrametric model. Zbl 1187.62111 Murtagh, F.	6	2009
Self-similar \(p\)-adic fractal strings and their complex dimensions. Zbl 1187.28014 Lapidus, Michel L.; Hùng, Lũ’	6	2009
On solution properties of some types of \(p\)-adic kinetic equations of the form reaction-diffusion. Zbl 1268.35076 Bikulov, Albert Kh.	6	2010
Classification of three-dimensional solvable \(p\)-adic Leibniz algebras. Zbl 1305.17002 Khudoyberdiyev, A. Kh.; Kurbanbaev, T. K.; Omirov, B. A.	6	2010
Active beam splitting attack applied to differential phase shift quantum key distribution protocol. Zbl 1420.81008 Avanesov, A. S.; Kronberg, D. A.; Pechen, A. N.	6	2018
Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606 Sakbaev, V. Zh.; Volovich, I. V.	6	2017
Functional stochastic classical mechanics. Zbl 1367.70002 Volovich, I. V.	5	2015
Spectral analysis for finite rank perturbations of diagonal operators in non-Archimedean Hilbert space. Zbl 1317.47069 Diagana, T.; Kerby, R.; Miabey, Teylama H.; Ramaroson, F.	5	2014
The \(p\)-adic analytic subgroup theorem revisited. Zbl 1327.11049 Fuchs, C.; Pham, D. H.	5	2015
Complete integrability of quantum and classical dynamical systems. Zbl 1436.81036 Volovich, Igor V.	5	2019
Pseudodifferential operators and Markov processes on adèles. Zbl 1435.35424 Aguilar-Arteaga, Victor A.; Estala-Arias, Samuel	5	2019
Some problems in the theory of approximation of functions on locally compact Vilenkin groups. Zbl 1430.43002 Platonov, Sergey S.	5	2019
URS and bi-URS for meromorphic functions in a non-Archimedean field. Zbl 1456.30082 Khoai, H. H.; An, V. H.	5	2020
On the \(p\)-adic properties of \(2\)-sected sums involving binomial coefficients. Zbl 1520.11030 Lengyel, T.	1	2023
Coherent states of the \(p\)-adic Heisenberg group and entropic uncertainty relations. Zbl 1535.81154 Zelenov, Evgeny	1	2023
\(p\)-adic weaving multiframelets. Zbl 1528.42039 Bhandari, Animesh; Mishra, Sudip; Chakraborty, Subenoy	1	2023
Infinite series whose topology of convergence varies from point to point. Zbl 1525.11141 Siegel, M. C.	1	2023
Constructions of Urysohn universal ultrametric spaces. Zbl 1537.54021 Ishiki, Yoshito	1	2023
Number-theory renormalization of vacuum energy. Zbl 07828534 Ivanov, M. G.; Dudchenko, V. A.; Naumov, V. V.	1	2023
A real-valued measure on non-Archimedean field extensions of \(\mathbb{R}\). Zbl 1494.26063 Bottazzi, Emanuele	3	2022
On \(p\)-metric spaces and the \(p\)-Gromov-Hausdorff distance. Zbl 1502.54013 Mémoli, Facundo; Wan, Zhengchao	3	2022
On linear representations of \(p\)-adic Heisenberg groups. Zbl 1492.22012 Diarra, Bertin; Mounkoro, Tongobé	1	2022
A few remarks on supercyclicity of non-Archimedean linear operators on \(c_0(\mathbb{N})\). Zbl 07507900 Mukhamedov, Farrukh; Khakimov, Otabek; Souissi, Abdessatar	1	2022
Giorgio Parisi: the Nobel Prize in Physics 2021. Zbl 1489.01023 Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V.	1	2022
On the rate of approximation by generalized de la Vallée Poussin type matrix transform means of Walsh-Fourier series. Zbl 1519.42030 Blahota, I.; Gát, G.	1	2022
The sojourn time problem for a \(p\)-adic random walk and its applications. Zbl 1515.60126 Bikulov, A. Kh.; Zubarev, A. P.	1	2022
Local well-posedness of the Cauchy problem for a \(p\)-adic Nagumo-type equation. Zbl 1506.35286 Chacón-Cortés, L. F.; Garcia-Bibiano, C. A.; Zúñiga-Galindo, W. A.	1	2022
Non-Lie subgroups in Lie groups over local fields of positive characteristic. Zbl 1525.22006 Glöckner, Helge	1	2022
\(p\)-adic incomplete gamma functions and Artin-Hasse-type series. Zbl 1528.33025 Li, Xiaojian; Reiter, Jay; Tang, Shiang; Wang, Napoleon; Yi, Jin	1	2022
An embedding, an extension, and an interpolation of ultrametrics. Zbl 1481.54025 Ishiki, Yoshito	12	2021
Ultrametric preserving functions and weak similarities of ultrametric spaces. Zbl 1485.54037 Bilet, Viktoriia; Dovgoshey, Oleksiy; Shanin, Ruslan	7	2021
Best proximity pairs in ultrametric spaces. Zbl 1480.54026 Chaira, Karim; Dovgoshey, Oleksiy; Lazaiz, Samih	5	2021
On \(G_2\)-periodic quasi Gibbs measures of \(p\)-adic Potts model on a Cayley tree. Zbl 1477.82006 Tukhtabaev, Akbarkhuja	4	2021
On the extended class of SUPM and their generating URSM over non-Archimedean field. Zbl 1483.30088 Banerjee, Abhijit; Maity, Sayantan	3	2021
An incompatibility result on non-Archimedean integration. Zbl 1486.26063 Bottazzi, Emanuele	3	2021
Calderón-Zygmund operators on Morrey and Hardy-Morrey spaces in locally compact Vilenkin groups. Zbl 1489.43002 Ho, Kwok-Pun	2	2021
A Beilinson-Bernstein theorem for analytic quantum groups. I. Zbl 1497.17017 Dupré, Nicolas	2	2021
Taylor’s theorem, the inverse function theorem and the implicit function theorem for weakly locally uniformly differentiable functions on non-Archimedean spaces. Zbl 1485.26057 Shamseddine, Khodr	2	2021
log-Coulomb gas with norm-density in \(p\)-fields. Zbl 1484.81102 Webster, Joe	2	2021
\(p\)-adic fractal strings of arbitrary rational dimensions and Cantor strings. Zbl 1485.11138 Lapidus, Michel L.; Hùng, Lũ’; van Frankenhuijsen, Machiel	1	2021
On quasisymmetric mappings between ultrametric spaces. Zbl 1485.54032 Petrov, Evgeniy; Salimov, Ruslan	1	2021
The construction of \(p\)-adic Stockwell transform and its spectra. Zbl 1490.46073 Suzuki, Toshio	1	2021
A Beilinson-Bernstein theorem for analytic quantum groups. II. Zbl 1497.17018 Dupré, Nicolas	1	2021
Weighted central BMO type space estimates for commutators of \(p\)-adic Hardy-Cesàro operators. Zbl 1480.42026 Dung, Kieu Huu; Duong, Dao Van; Luan, Tran Nhat	1	2021
Variable exponent Lebesgue spaces and Hardy-Littlewood maximal function on \(p\)-adic numbers. Zbl 1451.42025 Chacón-Cortés, Leonardo Fabio; Rafeiro, Humberto	6	2020
On some extremal properties of finite ultrametric spaces. Zbl 1473.54027 Dovgoshey, Oleksiy; Petrov, Evgeniy	6	2020
Optimal weak type estimates for \(p\)-adic Hardy operators. Zbl 1434.42034 Hussain, Amjad; Sarfraz, Naqash	6	2020
URS and bi-URS for meromorphic functions in a non-Archimedean field. Zbl 1456.30082 Khoai, H. H.; An, V. H.	5	2020
On the \(\mathbb{K} \)-vector sequential topology on a non-Archimedean valued field. Zbl 1468.46080 El Amrani, Abdelkhalek; Razouki, Abdelhak; Hassani, Rachid A.; Babahmed, Mohamed	5	2020
Ergodic uniformly differentiable functions modulo \(p\) on \(\mathbb{Z}_p\). Zbl 1435.37015 Memić, Nacima; Huremović, Jasmina Muminović	4	2020
Generalised diffusion on moduli spaces of \(p\)-adic Mumford curves. Zbl 1457.35097 Bradley, Patrick Erik	4	2020
Learning problem for functional programming and model of biological evolution. Zbl 1447.92288 Kozyrev, Sergei V.	3	2020
Embedding theorems for Hölder classes defined on \(p\)-adic linear spaces. Zbl 1434.42037 Volosivets, S. S.	2	2020
Counting fixed points and rooted closed walks of the singular map \(x \mapsto x^{x^n}\) modulo powers of a prime. Zbl 1472.11292 Holden, Joshua; Richardson, Pamela A.; Robinson, Margaret M.	2	2020
Notes on ergodic \(2\)-adic transformations. Zbl 1458.37111 Memić, Nacima	2	2020
A survey and new results on Banach algebras of ultrametric continuous functions. Zbl 1468.46079 Chicourrat, Monique; Diarra, Bertin; Escassut, Alain	2	2020
Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups. Zbl 1465.43003 Platonov, Sergey S.	2	2020
The largest group contained in the order completion of a totally ordered group. Zbl 1516.06018 Muci, Adrialy; Olivos, Elena	1	2020
New variant of the fermionic model on the hierarchical two-dimensional lattice. Zbl 1446.82018 Missarov, Mukadas D.	1	2020
Weighted integrability of \(p\)-adic Fourier transform. Zbl 1456.30081 Golubov, Boris I.; Volosivets, Sergey S.	1	2020
\(p\)-adic dynamical systems of \((3,1)\)-rational functions with unique fixed point. Zbl 1470.37119 Luna, A. R.; Rozikov, U. A.; Sattarov, I. A.	1	2020
The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces. Zbl 1478.42022 Hussain, Amjad; Sarfraz, Naqash	14	2019
Finite ultrametric balls. Zbl 1432.54027 Dovgoshey, Oleksiy	11	2019
Properties and morphisms of finite ultrametric spaces and their representing trees. Zbl 1433.54015 Dovgoshey, Oleksiy; Petrov, Evgeniy	10	2019
\(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105 Rozikov, U. A.; Sattarov, I. A.; Yam, S.	7	2019
Non periodic \(p\)-adic generalized Gibbs measure for Ising model. Zbl 1437.82009 Rahmatullaev, Muzaffar; Tukhtabaev, Akbarkhuja	6	2019
Complete integrability of quantum and classical dynamical systems. Zbl 1436.81036 Volovich, Igor V.	5	2019
Pseudodifferential operators and Markov processes on adèles. Zbl 1435.35424 Aguilar-Arteaga, Victor A.; Estala-Arias, Samuel	5	2019
Some problems in the theory of approximation of functions on locally compact Vilenkin groups. Zbl 1430.43002 Platonov, Sergey S.	5	2019
Hausdorff operator on weighted Lebesgue and grand Lebesgue \(p\)-adic spaces. Zbl 07146202 Bandaliyev, R. A.; Volosivets, S. S.	4	2019
Generalized open mapping theorem for \(X\)-normed spaces. Zbl 1443.46047 Comicheo, Angel Barria	4	2019
Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers. Zbl 1440.43009 Platonov, Sergey S.	3	2019
Weighted estimates for maximal operators, Riesz potential operators and commutators on \(p\)-adic Lebesgue and Morrey spaces. Zbl 1451.42026 Chuong, Nguyen Minh; Duong, Dao Van; Dung, Kieu Huu	3	2019
\(p\)-adic multiwavelet sets. Zbl 1434.42049 Haldar, Debasis; Singh, Divya	3	2019
Axioms of soft logic. Zbl 1432.03040 Klein, Moshe; Maimon, Oded	2	2019
Some results on arithmetic properties of \(p\)-adic Liouville numbers. Zbl 1431.11086 Lelis, Jean; Marques, Diego	2	2019
Adinkras, dessins, origami, and supersymmetry spectral triples. Zbl 1445.17002 Marcolli, Matilde; Zolman, Nick	2	2019
Noncommutative geometry of groups like \(\Gamma_0(N)\). Zbl 1475.11099 Plazas, Jorge	2	2019
Hysteresis, unconscious and economics. Zbl 1436.91098 Iurato, Giuseppe	1	2019
The uniform distribution of sequences generated by iterated polynomials. Zbl 07177467 Lerner, Emil	1	2019
Constructing the completion of a field using quasimorphisms. Zbl 1447.12005 Kionke, Steffen	1	2019
Non-Archimedean pseudodifferential operators and Feller semigroups. Zbl 1461.35259 Torresblanca-Badillo, Anselmo; Zúñiga-Galindo, W. A.	17	2018
Weak similarities of finite ultrametric and semimetric spaces. Zbl 1403.54019 Petrov, Evgeniy	13	2018
From isomorphic rooted trees to isometric ultrametric spaces. Zbl 1435.54011 Dovgoshey, Oleksiy; Petrov, Evgeniy	13	2018
Heat kernels for isotropic-like Markov generators on ultrametric spaces: a survey. Zbl 1428.46047 Bendikov, Alexander	7	2018
Measure-preservation and the existence of a root of \(p\)-adic 1-Lipschitz functions in Mahler’s expansion. Zbl 1425.26022 Jeong, Sangtae	7	2018
Active beam splitting attack applied to differential phase shift quantum key distribution protocol. Zbl 1420.81008 Avanesov, A. S.; Kronberg, D. A.; Pechen, A. N.	6	2018
On integrable delta functions on the Levi-Civita field. Zbl 1428.46048 Flynn, Darren; Shamseddine, Khodr	5	2018
Towards three-dimensional conformal probability. Zbl 1420.81023 Abdesselam, Abdelmalek	5	2018
Biology as a constructive physics. Zbl 1419.92022 Kozyrev, S. V.	5	2018
Some problems in the theory of approximation of functions on the group of \(p\)-adic numbers. Zbl 1411.46053 Platonov, Sergey S.	3	2018
On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over \(p\)-adic field. Zbl 07090162 Pourhadi, Ehsan; Khrennikov, A. Yu.	3	2018
Solvability of a class of nonlinear pseudo-differential equations in \(\mathbb{R}^n\). Zbl 1402.35325 Khachatryan, A. Kh.; Khachatryan, Kh. A.	2	2018
A transfer principle for the continuations of real functions to the Levi-Civita field. Zbl 1415.26006 Bottazzi, Emanuele	2	2018
Sets of minimality of \((1 - 1)\)-rational functions. Zbl 1442.37122 Memić, Nacima	2	2018
A review of finite approximations, Archimedean and non-Archimedean. Zbl 1457.81046 Digernes, Trond	2	2018
A possible \(p\)-adic Weber-Fechner law. Zbl 1422.91631 Iurato, Giuseppe	2	2018
Model of \(p\)-adic random walk in a potential. Zbl 1402.60052 Bikulov, A. Kh.; Zubarev, A. P.	1	2018
On a congruence involving generalized Fibonomial coefficients. Zbl 1441.11032 Trojovský, Pavel	1	2018
On the classification of \(p\)-adic UHF Banach algebras. Zbl 1428.46046 Baker, R. L.	1	2018
Generalized \(p\)-adic Fourier transform and estimates of integral modulus of continuity in terms of this transform. Zbl 1432.30033 Volosivets, S. S.; Kuznetsova, M. A.	1	2018
\(p\)-adic mathematical physics: the first 30 years. Zbl 1394.81009 Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V.; Zelenov, E. I.	63	2017
Trees and ultrametric Möbius structures. Zbl 1387.53022 Beyrer, Jonas; Schroeder, Victor	15	2017
Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space. Zbl 1496.42034 Volosivets, S. S.	12	2017
On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains. Zbl 1375.31010 Matevossian, Hovik A.	11	2017
An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups. Zbl 1388.43004 Platonov, Sergey S.	11	2017
Value sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean field. Zbl 1367.30034 Vu Hoai An; Pham Ngoc Hoa; Ha Huy Khoai	10	2017
The comb representation of compact ultrametric spaces. Zbl 1379.54023 Lambert, Amaury; Uribe Bravo, Gerónimo	10	2017
An analogue of the Titchmarsh theorem for the Fourier transform on the group of \(p\)-adic numbers. Zbl 1409.11116 Platonov, Sergey S.	9	2017
Generalized fractional integrals in \(p\)-adic Morrey and Herz spaces. Zbl 1410.46058 Volosivets, S. S.	7	2017
Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606 Sakbaev, V. Zh.; Volovich, I. V.	6	2017
On solvability of one class of nonlinear integral equations on whole line with a weak singularity at zero. Zbl 1390.45011 Khachatryan, Khachatur A.	4	2017
Local zeta functions, pseudodifferential operators and Sobolev-type spaces over non-Archimedean local fields. Zbl 1427.11135 Zúñiga-Galindo, W. A.	4	2017
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Cited by 812 Authors

61	Khrennikov, Andreĭ Yur’evich
35	Mukhamedov, Farruh Maksutovich
35	Zúñiga-Galindo, Wilson A.
29	Kozyrev, Sergeĭ Vladimirovich
28	Dragovich, Branko
26	Dovgoshey, Oleksiy Alfredovich
19	Khakimov, Otabek N.
18	Volovich, Igor’ Vasil’evich
16	Matevosyan, Hovik A.
15	Duong, Dao Van
14	Memić, Nacima
14	Sergeev, Yaroslav Dmitrievich
13	Rozikov, Utkir A.
13	Torresblanca-Badillo, Anselmo
12	Marcolli, Matilde
12	Sakbaev, Vsevolod Zhanovich
12	Volosivets, Sergeĭ Sergeevich
12	Zubarev, Aleksandr Petrovich
11	Nguyen Minh Chuong
11	Petrov, Evgenii Aleksandrovich
11	Sarfraz, Naqash
10	Albeverio, Sergio A.
10	Chacón-Cortes, Leonardo Fabio
10	Zelenov, Evgenii I.
9	Bradley, Patrick Erik
9	Estala-Arias, Samuel
9	Hussain, Amjad
9	Ishiki, Yoshito
9	Jeong, Sangtae
9	Rakić, Zoran
9	Sattarov, Iskandar A.
8	Bikulov, Al’bert Khakimovich
8	Dung, Kieu Huu
8	Farkov, Yuriĭ Anatol’evich
8	Trushechkin, Anton Sergeevich
8	Vladimirov, Vasiliĭ Sergeevich
7	Biswas, Tanmay
7	Dimitrijevic, Ivan
7	Khachatryan, Khachatur Aghavardovich
7	Liao, Lingmin
7	Shelkovich, Vladimir M.
7	Stankovic, Jelena
7	Varadarajan, Veeravalli S.
7	Weisbart, David
6	Ahmad, Owais
6	Anashin, Vladimir Sergeevich
6	Cruz-López, Manuel
6	Fan, Shilei
6	Iurato, Giuseppe
6	Murtagh, Fionn D.
6	Pathak, Ashish
6	Platonov, Sergei S.
6	Shamseddine, Khodr
5	Aref’eva, Irina Yaroslavna
5	Aslam, Muhammad
5	Bilet, Viktoriia Viktorivna
5	Biswas, Chinmay
5	Casas-Sánchez, Oscar Francisco
5	Escassut, Alain
5	Galeano-Peñaloza, Jeanneth
5	Garcia, Ismael Gutierrez
5	Jahan, Qaiser
5	Lapidus, Michel L.
5	Mancini, Stefano
5	Mišić, Nataša Ž.
5	Oleschko, Klaudia
5	Rahmatullaev, Muzaffar
5	Sheikh, Neyaz Ahmad
5	Singh, Guru P.
5	Yurova, Ekaterina I.
4	Aguilar-Arteaga, Victor A.
4	Akin, Hasan
4	Banerjee, Abhijit
4	Bottazzi, Emanuele
4	Chaira, Karim
4	Daher, Radouan
4	De Leone, Renato
4	Digernes, Trond
4	Doğan, Mutlay
4	Drozhzhinov, Yuriĭ Nikolaevich
4	Ferrara, Sergio
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4	Jarad, Fahd
4	Kochubeĭ, Anatoliĭ Naumovych
4	Kosyak, Alexandre V.
4	Kronberg, D. A.
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4	Lukomskiĭ, Sergeĭ Fedorovich
4	Maity, Sayantan
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4	Sawano, Yoshihiro
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Cited in 253 Journals

208	\(p\)-Adic Numbers, Ultrametric Analysis, and Applications
35	Theoretical and Mathematical Physics
25	Proceedings of the Steklov Institute of Mathematics
22	Journal of Mathematical Analysis and Applications
20	Journal of High Energy Physics
18	Lobachevskii Journal of Mathematics
16	Journal of Pseudo-Differential Operators and Applications
15	Journal of Mathematical Sciences (New York)
13	Journal of Mathematical Physics
13	Applied Mathematics and Computation
12	Journal of Number Theory
10	Topology and its Applications
9	The Journal of Fourier Analysis and Applications
9	Doklady Mathematics
8	Mathematical Notes
8	Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
7	Communications in Mathematical Physics
7	Physica A
7	Indagationes Mathematicae. New Series
7	Russian Journal of Mathematical Physics
7	Journal of Inequalities and Applications
7	Infinite Dimensional Analysis, Quantum Probability and Related Topics
7	Journal of Function Spaces
6	Reports on Mathematical Physics
6	Ukrainian Mathematical Journal
6	Filomat
6	Izvestiya: Mathematics
6	Mathematical Physics, Analysis and Geometry
6	Foundations of Physics
5	Letters in Mathematical Physics
5	Physics Letters. B
5	Reviews in Mathematical Physics
5	Soft Computing
5	Communications in Nonlinear Science and Numerical Simulation
5	Complex Analysis and Operator Theory
5	Journal of Physics A: Mathematical and Theoretical
4	Nuclear Physics. B
4	Chaos, Solitons and Fractals
4	Advances in Mathematics
4	Rendiconti del Circolo Matemàtico di Palermo. Serie II
4	Siberian Mathematical Journal
4	Journal of Classification
4	Finite Fields and their Applications
4	Discrete and Continuous Dynamical Systems
4	Integers
4	Differential Equations
4	International Journal of Wavelets, Multiresolution and Information Processing
4	Mediterranean Journal of Mathematics
4	Journal of Statistical Mechanics: Theory and Experiment
4	International Journal of Number Theory
4	Tbilisi Mathematical Journal
4	Analysis and Mathematical Physics
4	Open Mathematics
4	Advances in Operator Theory
3	Journal of Statistical Physics
3	Journal of Geometry and Physics
3	Colloquium Mathematicum
3	Journal of Computational and Applied Mathematics
3	Results in Mathematics
3	Statistics & Probability Letters
3	Russian Mathematics
3	Bulletin of the Belgian Mathematical Society - Simon Stevin
3	Boletín de la Sociedad Matemática Mexicana. Third Series
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3	Comptes Rendus. Mathématique. Académie des Sciences, Paris
3	International Journal of Geometric Methods in Modern Physics
3	Journal of Noncommutative Geometry
3	Journal of Mathematical Inequalities
3	Palestine Journal of Mathematics
3	Korean Journal of Mathematics
2	International Journal of Modern Physics A
2	Analysis Mathematica
2	Bulletin of the Australian Mathematical Society
2	International Journal of Theoretical Physics
2	Mathematical Methods in the Applied Sciences
2	Journal of Algebra
2	Mathematische Annalen
2	Mathematische Nachrichten
2	Mathematica Slovaca
2	Numerical Functional Analysis and Optimization
2	Proceedings of the American Mathematical Society
2	Publications of the Research Institute for Mathematical Sciences, Kyoto University
2	Transactions of the Moscow Mathematical Society
2	The Annals of Applied Probability
2	Computational Mathematics and Mathematical Physics
2	Expositiones Mathematicae
2	The Journal of Analysis
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2	Applied Mathematics. Series B (English Edition)
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Cited in 62 Fields

228	Number theory (11-XX)
155	Harmonic analysis on Euclidean spaces (42-XX)
151	Functional analysis (46-XX)
145	Quantum theory (81-XX)
113	Operator theory (47-XX)
105	Dynamical systems and ergodic theory (37-XX)
98	Partial differential equations (35-XX)
95	Probability theory and stochastic processes (60-XX)
93	Statistical mechanics, structure of matter (82-XX)
71	Real functions (26-XX)
63	General topology (54-XX)
51	Functions of a complex variable (30-XX)
46	Combinatorics (05-XX)
45	Biology and other natural sciences (92-XX)
44	Field theory and polynomials (12-XX)
42	Abstract harmonic analysis (43-XX)
42	Computer science (68-XX)
38	Relativity and gravitational theory (83-XX)
32	Mathematical logic and foundations (03-XX)
31	Algebraic geometry (14-XX)
27	Topological groups, Lie groups (22-XX)
24	Numerical analysis (65-XX)
23	Global analysis, analysis on manifolds (58-XX)
22	Measure and integration (28-XX)
20	Nonassociative rings and algebras (17-XX)
20	Potential theory (31-XX)
19	Group theory and generalizations (20-XX)
17	Differential geometry (53-XX)
16	Statistics (62-XX)
14	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13	Information and communication theory, circuits (94-XX)
12	Several complex variables and analytic spaces (32-XX)
12	Difference and functional equations (39-XX)
12	Mechanics of particles and systems (70-XX)
11	Approximations and expansions (41-XX)
11	Integral equations (45-XX)
10	Order, lattices, ordered algebraic structures (06-XX)
10	Sequences, series, summability (40-XX)
10	Geometry (51-XX)
9	Associative rings and algebras (16-XX)
9	Ordinary differential equations (34-XX)
7	Category theory; homological algebra (18-XX)
7	Fluid mechanics (76-XX)
7	Operations research, mathematical programming (90-XX)
6	History and biography (01-XX)
5	General and overarching topics; collections (00-XX)
5	Manifolds and cell complexes (57-XX)
4	General algebraic systems (08-XX)
4	Commutative algebra (13-XX)
4	Linear and multilinear algebra; matrix theory (15-XX)
4	\(K\)-theory (19-XX)
4	Integral transforms, operational calculus (44-XX)
4	Algebraic topology (55-XX)
4	Astronomy and astrophysics (85-XX)
3	Special functions (33-XX)
3	Systems theory; control (93-XX)
2	Mechanics of deformable solids (74-XX)
1	Calculus of variations and optimal control; optimization (49-XX)
1	Convex and discrete geometry (52-XX)
1	Optics, electromagnetic theory (78-XX)
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1	Geophysics (86-XX)

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