Found 144 Documents (Results 1–100)
Brezis-Seeger-Van Schaftingen-Yung-type characterization of homogeneous ball Banach Sobolev spaces and its applications. (English) Zbl 07885849
Two-weighted estimates for \(p\)-adic Riesz potential and its commutators on Morrey-Herz spaces. (English) Zbl 1537.42045
Uniqueness of series by general Franklin system with convergent subsequence of partial sums. (English. Russian original) Zbl 1540.42052
J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 2, 67-80 (2023); translation from Izv. Nats. Akad. Nauk Armen., Mat. 58, No. 2, 28-45 (2023).
Some tridiagonal determinants. (English) Zbl 1520.15001
Reviewer: Jorma K. Merikoski (Tampere)
Approximation in variable exponent spaces and growth of norms of trigonometric polynomials. (English) Zbl 1524.42006
Reviewer: Adhemar Bultheel (Leuven)
Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space. (English) Zbl 1489.35047
Sampling and approximation in shift invariant subspaces of \(L_2(\mathbb{R})\). (English) Zbl 1479.94086
Rassias, Michael Th. (ed.), Harmonic analysis and applications. Cham: Springer. Springer Optim. Appl. 168, 1-19 (2021).
Relation between Fourier series and Wiener algebras. (English. Ukrainian original) Zbl 1469.42008
J. Math. Sci., New York 256, No. 6, 785-802 (2021); translation from Ukr. Mat. Visn. 18, No. 1, 80-103 (2021).
Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces. (English) Zbl 1467.42058
The Pełczyński and Dunford-Pettis properties of the space of uniform convergent Fourier series with respect to orthogonal polynomials. (English) Zbl 1478.46010
Taylor’s theorem for functionals on BMO with application to BMO local minimizers. (English) Zbl 1467.42039
Global Lorentz estimates for nonuniformly nonlinear elliptic equations via fractional maximal operators. (English) Zbl 1468.35026
Reviewer: Dian K. Palagachev (Bari)
Global existence of large solutions for the generalized Poisson-Nernst-Planck equations. (English) Zbl 1462.35394
Quantitative projections in the Sturm oscillation theorem. (English. French summary) Zbl 1465.34034
Reviewer: Satoshi Tanaka (Sendai)
Sampling theory in a Fourier algebra setting. (English) Zbl 1466.94013
Casey, Stephen D. (ed.) et al., Sampling: theory and applications. A centennial celebration of Claude Shannon. Based on talks given at the eleventh international sampling theory and applications conference, SAMPTA 2015, Washington, DC, USA, May 25–29, 2015. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 51-91 (2020).
Reviewer: Joseph Lakey (Las Cruces)
Zeros of orthogonal polynomials. (English) Zbl 1443.33017
Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 441-456 (2020).
Quasiunconditional basis property of the Faber-Schauder system. (English. Russian original) Zbl 1435.42021
Ukr. Math. J. 71, No. 2, 237-247 (2019); translation from Ukr. Mat. Zh. 71, No. 2, 210-219 (2019).
Sobolev-orthogonal systems of functions and some of their applications. (English. Russian original) Zbl 1434.42039
Russ. Math. Surv. 74, No. 4, 659-733 (2019); translation from Usp. Mat. Nauk 74, No. 4, 87-164 (2019).
\(p\)-adic multiwavelet sets. (English) Zbl 1434.42049
Turing patterns, Lengyel-Epstein systems and Faber splines. (English) Zbl 1508.46027
Kosek, Marta (ed.), Function spaces XII. Selected papers based on the presentations at the 12th conference, Krakow, Poland, July 9–14, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 119, 311-330 (2019).
Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels. (English) Zbl 1478.42005
Reviewer: Bogdan Szal (Zielona Góra)
Convergence rates for Fourier partial sums of polygons and periodic splines. (English) Zbl 1417.42003
Sobolev-orthogonal systems of functions and the Cauchy problem for ODEs. (English. Russian original) Zbl 1412.42067
Izv. Math. 83, No. 2, 391-412 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 2, 204-226 (2019).
On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions. (English) Zbl 1409.42025
Reviewer: Ahmed I. Zayed (Chicago)
On some constructions of a non-periodic modulus of smoothness related to the Riesz derivative. (English) Zbl 1463.42001
Uniqueness theorems for Franklin series. (English. Russian original) Zbl 1440.42130
Proc. Steklov Inst. Math. 303, 58-77 (2018); translation from Tr. Mat. Inst. Steklova 303, 67-86 (2018).
MSC:
42C10
The Fourier-Faber-Schauder series unconditionally divergent in measure. (English. Russian original) Zbl 1410.42005
Sib. Math. J. 59, No. 5, 835-842 (2018); translation from Sib. Mat. Zh. 59, No. 5, 1057-1065 (2018).
\(p\)-adic shearlets. (English) Zbl 1412.42090
On \(M^\ast\)-sets for series by Franklin system. (English. Russian original) Zbl 1407.42020
J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 5, 276-280 (2018); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 5, 3-10 (2018).
Bernstein’s inequality for the Weyl derivatives of trigonometric polynomials in the space \(L_0\). (English. Russian original) Zbl 1401.42001
Math. Notes 104, No. 2, 263-270 (2018); translation from Mat. Zametki 104, No. 2, 255-264 (2018).
MSC:
42A05
On uniqueness of series by Haar system. (English. Russian original) Zbl 1398.42016
J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 3, 128-133 (2018); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 3, 3-10 (2018).
Uniqueness theorems for Franklin series converging to integrable functions. (English. Russian original) Zbl 1402.42039
Sb. Math. 209, No. 6, 802-822 (2018); translation from Mat. Sb. 209, No. 6, 25-46 (2018).
Reviewer: Evgueni Doubtsov (St. Petersburg)
MSC:
42C10
Unweighted linear congruences with distinct coordinates and the Varshamov-Tenengolts codes. (English) Zbl 1411.11035
Partial fractions and Riesz’ interpolation formula for trigonometric polynomials. (English) Zbl 1394.42003
Riesz bases, Meyer’s quasicrystals, and bounded remainder sets. (English) Zbl 1390.42013
Reviewer: Elijah Liflyand (Ramat-Gan)
Spaceability for sets of bandlimited input functions and stable linear time-invariant systems with finite time blowup behavior. (English. Russian original) Zbl 1437.94042
Probl. Inf. Transm. 53, No. 2, 164-182 (2017); translation from Probl. Peredachi Inf. 53, No. 2, 70-90 (2017).
Regularity estimates in weighted Orlicz spaces for Calderón-Zygmund type singular integral operators. (English) Zbl 1408.32005
Tempered homogeneous function spaces. II. (English) Zbl 1395.46030
Cwikel, Michael (ed.) et al., Functional analysis, harmonic analysis, and image processing: a collection of papers in honor of Björn Jawerth. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2836-5/pbk; 978-1-4704-4166-1/ebook). Contemporary Mathematics 693, 331-361 (2017).
Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent. (English) Zbl 1375.41017
Largest well-posed spaces for the general diffusion system with nonlocal interactions. (English) Zbl 1372.35309
Reviewer: Eugene Postnikov (Kursk)
On sharp constants in Bernstein-Nikolskii inequalities. (English) Zbl 1370.41023
Reviewer: Yuri A. Farkov (Moscow)
Bernstein inequalities with nondoubling weights. (English) Zbl 1362.26014
Reviewer: Ioan Raşa (Cluj-Napoca)
On the uniqueness of series in the Franklin system. (English. Russian original) Zbl 1365.42029
Sb. Math. 207, No. 12, 1650-1673 (2016); translation from Mat. Sb. 207, No. 12, 30-53 (2016).
Reviewer: Ferenc Weisz (Budapest)
Sobolev spaces of fractional order, Lipschitz spaces, readapted modulation spaces and their interrelations; applications. (English) Zbl 1359.41002
Reviewer: Boris Rubin (Baton Rouge)
Nonperiodic modulus of smoothness corresponding to the Riesz derivative. (English. Russian original) Zbl 1350.41010
Math. Notes 99, No. 6, 928-931 (2016); translation from Mat. Zametki 99, No. 6, 933-936 (2016).
On convergence and absolute convergence of Fourier series with respect to orthogonal polynomials. (English) Zbl 1410.42004
Uniqueness theorems for series in the Franklin system. (English. Russian original) Zbl 1358.42020
Math. Notes 98, No. 5, 847-851 (2015); translation from Mat. Zametki 98, No. 5, 786-789 (2015).
Reviewer: Aurelian Bejancu (Safat)
MSC:
42B37
Multi-variate Hardy-type lattice point summation and Shannon-type sampling. (English) Zbl 1369.94143
Reviewer: N. G. Gamkrelidze (Moskva)
The Bernstein-Szegő inequality for fractional derivatives of trigonometric polynomials. (English. Russian original) Zbl 1332.26033
Proc. Steklov Inst. Math. 288, Suppl. 1, S13-S28 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 17-31 (2014).
Reviewer: James Adedayo Oguntuase (Abeokuta)
Approximation by series of sigmoidal functions with applications to neural networks. (English) Zbl 1321.41021
Reviewer: Vladimir V. Peller (East Lansing)
On window methods in generalized Shannon sampling operators. (English) Zbl 1318.42002
Zayed, Ahmed I. (ed.) et al., New perspectives on approximation and sampling theory. Festschrift in honor of Paul Butzer’s 85th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-08800-6/hbk; 978-3-319-08801-3/ebook). Applied and Numerical Harmonic Analysis, 63-85 (2014).
Reviewer: Sorin Gheorghe Gal (Oradea)
\(L_p\)-inequalities for differences and derivatives of positive order for functions with spectrum in the ball or spherical layer. (English. Russian original) Zbl 1338.42032
Math. Notes 95, No. 3, 388-398 (2014); translation from Mat. Zametki 95, No. 3, 433-444 (2014).
The classical and approximate sampling theorems and their equivalence for entire functions of exponential type. (English) Zbl 1370.42002
Basic relations valid for the Bernstein space \(B^{p}_{\sigma}\) and their extensions to functions from larger spaces with error estimates in terms of their distances from \(B^{p}_{\sigma}\). (English) Zbl 1304.30037
A weak-type inequality for uniformly bounded trigonometric polynomials. (English. Russian original) Zbl 1288.42001
Proc. Steklov Inst. Math. 280, 208-219 (2013); translation from Tr. Mat. Inst. Steklova 280, 215-226 (2013).
Reviewer: H. P. Dikshit (Bhopal)
Peculiarities of the partial Fourier-Haar sum behavior at dyadic irrational discontinuity points. (English. Russian original) Zbl 1282.42027
Sib. Math. J. 54, No. 6, 1059-1063 (2013); translation from Sib. Mat. Zh. 54, No. 6, 1331-1336 (2013).
MSC:
42C10
Special moduli of continuity and the constant in the Jackson-Stechkin theorem. (English) Zbl 1282.41003
Reviewer: Yuri A. Farkov (Moskva)
A sharp error estimate for numerical Fourier fransform of band-limited functions based on windowed samples. (English) Zbl 1279.41025
Reviewer: Vijay Gupta (New Delhi)
Bernstein’s inequality for algebraic polynomials on circular arcs. (English) Zbl 1267.42001
Reviewer: Yuri A. Farkov (Moskva)
A sharp error bound in terms of an averaged modulus of smoothness for Fourier Lagrange coefficients. (English) Zbl 1266.42006
Reviewer: S. F. Lukomskii (Saratov)
Absolute convergence of double series of Fourier-Haar coefficients for functions of bounded \(p\)-variation. (English. Russian original) Zbl 1261.42046
Russ. Math. 56, No. 6, 1-10 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2012, No. 6, 3-13 (2012).
Reviewer: Julian Musielak (Poznań)
On a class of non-uniform average sampling expansions and partial reconstruction in subspaces of \(L _{2}(\mathbb R)\). (English) Zbl 1261.94021
Universal potential estimates. (English) Zbl 1252.35097
Reviewer: Lubomira Softova (Aversa)
Local properties of intertwining operators on the sphere. (English) Zbl 1219.52003
Reviewer: Rolf Schneider (Freiburg i. Br.)
A modified Fejér and Jackson summability method with respect to orthogonal polynomials. (English) Zbl 1225.42018
Reviewer: H.-J. Glaeske (Jena)
Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\). (English) Zbl 1273.42036
Reviewer: Stamatis Koumandos (Nicosia)
Convexity of the zeros of some orthogonal polynomials and related functions. (English) Zbl 1184.33005
Reviewer: Marcel G. de Bruin (Haarlem)
Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences. (English) Zbl 1179.33011
Reviewer: Alicia Cachafeiro López (Vigo)
Peripheral zone of disturbance from a local impulse in a string mesh formed by two systems of strings with different impedances. (English. Russian original) Zbl 1288.35465
J. Math. Sci., New York 151, No. 2, 2859-2864 (2008); translation from Zap. Nauchn. Semin. POMI 347, 107-116 (2007).
Convergence of biorthogonal series in the system of contractions and translations of functions in the spaces \(L^p[0, 1]\). (English. Russian original) Zbl 1159.42018
Math. Notes 83, No. 5, 657-674 (2008); translation from Mat. Zametki 83, No. 5, 722-740 (2008).
Reviewer: Boris I. Golubov (Dolgoprudny)
On a new class of function systems of Faber-Schauder type. (English. Russian original) Zbl 1213.42085
Math. Notes 82, No. 5, 575-582 (2007); translation from Mat. Zametki 82, No. 5, 643-651 (2007).
MSC:
42C05
Hypergroups of compact type. (English) Zbl 1077.43005
Reviewer: Liliana Pavel (Bucharest)
Approximation numbers in function spaces and the distribution of eigenvalues of some fractal elliptic operators. (English) Zbl 1130.46305
Local behaviour of polynomials. (English) Zbl 1053.42001
Reviewer: Ferenc Móricz (Szeged)
The aliasing error in recovery of nonbandlimited signals by prefiltering and sampling. (English) Zbl 1044.94519
Average sampling in shift invariant subspaces with symmetric averaging functions. (English) Zbl 1029.94009
Selective approximate identities for orthogonal polynomial sequences. (English) Zbl 1034.42024
Reviewer: Marcel G. de Bruin (Delft)
Eine axiomatische Charakterisierung der Hilbert-Transformation (An axiomatic characterization of Hilbert transform). (English) Zbl 1028.44002
Reviewer: M.Zajac (Bratislava)
Nonuniqueness for a bounded, differentiable complete orthonormal system in \(L^2[0,1]\). (English) Zbl 1025.42018
Mellin-Fourier series and the classical Mellin transform. (English) Zbl 0959.44006
Reviewer: Robert G.Buschman (Langlois)
Gibbs phenomenon on sampling series based on Shannon’s and Meyer’s wavelet analysis. (English) Zbl 0948.42025
Reviewer: Ole Christensen (Lyngby)
Self-affine fractal functions and wavelet series. (English) Zbl 0946.28005
Reviewer: Yimin Xiao (Redmond)
A direct interpolation method for irregular sampling. (English) Zbl 0957.42024
Reviewer: Radu Balan (Princeton)
On the sampling theorem for wavelet subspaces. (English) Zbl 0931.42022
MSC:
42C40
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