David F. Walnut - Author Profile

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Walnut, David F.

Author ID:	walnut.david-f
Published as:	Walnut, David F.; Walnut, David; Walnut, D.; Walnut, D. F. more...less

Documents Indexed:	34 Publications since 1989, including 1 Book and 1 Additional arXiv Preprint
	2 Contributions as Editor · 1 Further Contribution
Co-Authors:	18 Co-Authors with 28 Joint Publications
	597 Co-Co-Authors

all top 5

Co-Authors

9	single-authored
9	Pfander, Götz E.
7	Heil, Christopher E.
6	Benedetto, John Joseph
4	Gröchenig, Karlheinz
3	Berenstein, Carlos Alberto
3	Lee, Dae Gwan
2	Casey, Stephen D.
2	Struppa, Daniele Carlo
1	Behmard, Hamid
1	Bourgeois, Marc
1	Daubechies, Ingrid
1	Desbat, Laurent
1	Easley, Glenn R.
1	Faridani, Adel
1	Feichtinger, Hans Georg
1	Ferreira, Paulo Jorge S. G.
1	Gabardo, Jean-P.ierre
1	Graveron-Demilly, Danielle
1	Herley, Cormac
1	Higgins, John Rowland
1	Hogan, Jeffrey A.
1	Kailath, Thomas
1	Katsnel’son, Viktor Èmmanuilovich
1	Kivinukk, Andi
1	Kotel’nikov, Vladimir Aleksandrovich
1	Lakey, Joseph D.
1	Lawrence, James
1	Mennessier, Catherine
1	Napoletani, Domenico
1	Potts, Daniel
1	Revay, Shauna
1	Rom, Bjarte
1	Sabadini, Irene
1	Steidl, Gabriele
1	Strohmer, Thomas
1	Tasche, Manfred
1	Torres, Rodolfo H.
1	van Ormondt, Dirk
1	Wajer, Frank T. A. W.
1	Walter, Gilbert G.
1	Wong, Ping Wah
1	Zayed, Ahmed I.

all top 5

Serials

4	The Journal of Fourier Analysis and Applications
2	IEEE Transactions on Information Theory
2	Journal of Mathematical Analysis and Applications
2	Arkiv för Matematik
2	SIAM Review
2	Sampling Theory in Signal and Image Processing
1	Mathematische Nachrichten
1	Monatshefte für Mathematik
1	Results in Mathematics
1	Journal of Mathematical Imaging and Vision
1	Applied and Computational Harmonic Analysis
1	Chaos
1	Progress in Mathematics
1	Applied and Numerical Harmonic Analysis

all top 5

Fields

27	Harmonic analysis on Euclidean spaces (42-XX)
14	Information and communication theory, circuits (94-XX)
7	Functional analysis (46-XX)
4	Integral transforms, operational calculus (44-XX)
3	General and overarching topics; collections (00-XX)
3	Functions of a complex variable (30-XX)
3	Abstract harmonic analysis (43-XX)
3	Operator theory (47-XX)
2	Approximations and expansions (41-XX)
2	Numerical analysis (65-XX)
2	Computer science (68-XX)
1	Combinatorics (05-XX)
1	Number theory (11-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	Topological groups, Lie groups (22-XX)
1	Partial differential equations (35-XX)
1	Integral equations (45-XX)
1	Optics, electromagnetic theory (78-XX)
1	Quantum theory (81-XX)
1	Biology and other natural sciences (92-XX)
1	Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

32 Publications have been cited 721 times in 578 Documents	Cited by ▼	Year ▼
Continuous and discrete wavelet transforms. Zbl 0683.42031 Heil, Christopher E.; Walnut, David F.	265	1989
Differentiation and the Balian-Low theorem. Zbl 0887.42026 Benedetto, John J.; Heil, Christopher; Walnut, David F.	73	1995
An introduction to wavelet analysis. Zbl 0989.42014 Walnut, David F.	55	2002
Gabor frames for \(L^ 2\) and related spaces. Zbl 0887.42025 Benedetto, John J.; Walnut, David F.	48	1994
Modern sampling theory. Mathematics and applications. Zbl 1017.94006	40	2001
Continuity properties of the Gabor frame operator. Zbl 0763.47014 Walnut, David F.	39	1992
Linear independence of Gabor systems in finite dimensional vector spaces. Zbl 1099.42027 Lawrence, Jim; Pfander, Götz E.; Walnut, David	34	2005
Wilson bases and modulation spaces. Zbl 0794.46009 Feichtinger, H. G.; Gröchenig, K.; Walnut, D.	34	1992
Measurement of time-variant linear channels. Zbl 1323.94087 Pfander, Götz E.; Walnut, David F.	26	2006
Systems of convolution equations, deconvolution, Shannon sampling, and the wavelet and Gabor transforms. Zbl 0814.45001 Casey, Stephen D.; Walnut, David F.	18	1994
Gabor systems and the Balian-Low theorem. Zbl 0890.42007 Benedetto, John J.; Heil, Christopher; Walnut, David F.	14	1998
Operator identification and Feichtinger’s algebra. Zbl 1156.47305 Pfander, Götz E.; Walnut, David F.	13	2006
Sampling and reconstruction of operators. Zbl 1359.94383 Pfander, Götz E.; Walnut, David F.	13	2016
Local inversion of the Radon transform in even dimensions using wavelets. Zbl 0823.44003 Berenstein, Carlos A.; Walnut, David F.	12	1994
A Riesz basis for Bargmann-Fock space related to sampling and interpolation. Zbl 0777.46029 Gröchenig, K.; Walnut, D.	11	1992
Fundamental papers in wavelet theory. With a foreword by Ingrid Daubechies. Introduction by John J. Benedetto. Zbl 1113.42001	10	2006
Applications of Gabor and wavelet expansions to the Radon transform. Zbl 0758.44001 Walnut, David	9	1992
Lattice size estimates for Gabor decompositions. Zbl 0848.42022 Walnut, David F.	7	1993
Construction of sampling theorems for unions of shifted lattices. Zbl 1156.94316 Behmard, Hamid; Faridani, Adel; Walnut, David	6	2006
Uncertainty principles for time-frequency operators. Zbl 0790.42017 Benedetto, John; Heil, Christopher; Walnut, David	6	1992
Nonperiodic sampling of bandlimited functions on unions of rectangular lattices. Zbl 1056.42513 Walnut, David	5	1996
Cornerstones of sampling of operator theory. Zbl 1370.47071 Walnut, David; Pfander, Götz E.; Kailath, Thomas	4	2015
Sampling of unions of shifted lattices in one dimension. Zbl 1129.94305 Rom, Bjarte; Walnut, David	3	2006
Sampling and the multisensor deconvolution problem. Zbl 0807.42020 Walnut, David F.	3	1994
Nonperiodic sampling and the local three squares theorem. Zbl 1012.42003 Gröchenig, Karlheinz; Heil, Christopher; Walnut, David	3	2000
Solutions to deconvolution equations using nonperiodic sampling. Zbl 0954.42021 Walnut, David	2	1998
Wavelets and local tomography. Zbl 0849.92011 Berenstein, Carlos A.; Walnut, David F.	2	1996
Bases of complex exponentials with restricted supports. Zbl 1508.42037 Lee, Dae Gwan; Pfander, Götz E.; Walnut, David	2	2023
Local multichannel deconvolution. Zbl 1052.68139 Easley, G. R.; Walnut, D. F.	1	2003
Gabor and wavelet expansions. Zbl 0736.42023 Heil, Christopher; Walnut, David	1	1990
Delay-coordinates embeddings as a data mining tool for denoising speech signals. Zbl 1146.93380 Napoletani, D.; Struppa, D. C.; Sauer, T.; Berenstein, C. A.; Walnut, D.	1	2006
Exponential bases for partitions of intervals. Zbl 1531.05015 Pfander, Götz; Revay, Shauna; Walnut, David	1	2024
Exponential bases for partitions of intervals. Zbl 1531.05015 Pfander, Götz; Revay, Shauna; Walnut, David	1	2024
Bases of complex exponentials with restricted supports. Zbl 1508.42037 Lee, Dae Gwan; Pfander, Götz E.; Walnut, David	2	2023
Sampling and reconstruction of operators. Zbl 1359.94383 Pfander, Götz E.; Walnut, David F.	13	2016
Cornerstones of sampling of operator theory. Zbl 1370.47071 Walnut, David; Pfander, Götz E.; Kailath, Thomas	4	2015
Measurement of time-variant linear channels. Zbl 1323.94087 Pfander, Götz E.; Walnut, David F.	26	2006
Operator identification and Feichtinger’s algebra. Zbl 1156.47305 Pfander, Götz E.; Walnut, David F.	13	2006
Fundamental papers in wavelet theory. With a foreword by Ingrid Daubechies. Introduction by John J. Benedetto. Zbl 1113.42001	10	2006
Construction of sampling theorems for unions of shifted lattices. Zbl 1156.94316 Behmard, Hamid; Faridani, Adel; Walnut, David	6	2006
Sampling of unions of shifted lattices in one dimension. Zbl 1129.94305 Rom, Bjarte; Walnut, David	3	2006
Delay-coordinates embeddings as a data mining tool for denoising speech signals. Zbl 1146.93380 Napoletani, D.; Struppa, D. C.; Sauer, T.; Berenstein, C. A.; Walnut, D.	1	2006
Linear independence of Gabor systems in finite dimensional vector spaces. Zbl 1099.42027 Lawrence, Jim; Pfander, Götz E.; Walnut, David	34	2005
Local multichannel deconvolution. Zbl 1052.68139 Easley, G. R.; Walnut, D. F.	1	2003
An introduction to wavelet analysis. Zbl 0989.42014 Walnut, David F.	55	2002
Modern sampling theory. Mathematics and applications. Zbl 1017.94006	40	2001
Nonperiodic sampling and the local three squares theorem. Zbl 1012.42003 Gröchenig, Karlheinz; Heil, Christopher; Walnut, David	3	2000
Gabor systems and the Balian-Low theorem. Zbl 0890.42007 Benedetto, John J.; Heil, Christopher; Walnut, David F.	14	1998
Solutions to deconvolution equations using nonperiodic sampling. Zbl 0954.42021 Walnut, David	2	1998
Nonperiodic sampling of bandlimited functions on unions of rectangular lattices. Zbl 1056.42513 Walnut, David	5	1996
Wavelets and local tomography. Zbl 0849.92011 Berenstein, Carlos A.; Walnut, David F.	2	1996
Differentiation and the Balian-Low theorem. Zbl 0887.42026 Benedetto, John J.; Heil, Christopher; Walnut, David F.	73	1995
Gabor frames for \(L^ 2\) and related spaces. Zbl 0887.42025 Benedetto, John J.; Walnut, David F.	48	1994
Systems of convolution equations, deconvolution, Shannon sampling, and the wavelet and Gabor transforms. Zbl 0814.45001 Casey, Stephen D.; Walnut, David F.	18	1994
Local inversion of the Radon transform in even dimensions using wavelets. Zbl 0823.44003 Berenstein, Carlos A.; Walnut, David F.	12	1994
Sampling and the multisensor deconvolution problem. Zbl 0807.42020 Walnut, David F.	3	1994
Lattice size estimates for Gabor decompositions. Zbl 0848.42022 Walnut, David F.	7	1993
Continuity properties of the Gabor frame operator. Zbl 0763.47014 Walnut, David F.	39	1992
Wilson bases and modulation spaces. Zbl 0794.46009 Feichtinger, H. G.; Gröchenig, K.; Walnut, D.	34	1992
A Riesz basis for Bargmann-Fock space related to sampling and interpolation. Zbl 0777.46029 Gröchenig, K.; Walnut, D.	11	1992
Applications of Gabor and wavelet expansions to the Radon transform. Zbl 0758.44001 Walnut, David	9	1992
Uncertainty principles for time-frequency operators. Zbl 0790.42017 Benedetto, John; Heil, Christopher; Walnut, David	6	1992
Gabor and wavelet expansions. Zbl 0736.42023 Heil, Christopher; Walnut, David	1	1990
Continuous and discrete wavelet transforms. Zbl 0683.42031 Heil, Christopher E.; Walnut, David F.	265	1989

all cited Publications top 5 cited Publications

all top 5

Cited by 632 Authors

26	Gröchenig, Karlheinz
24	Pfander, Götz E.
21	Christensen, Ole
21	Sun, Wenchang
18	Feichtinger, Hans Georg
14	Heil, Christopher E.
12	Benedetto, John Joseph
10	Lim, Jae Kun
10	Vashisht, Lalit Kumar
9	Fard, Mohammad Ali Hasankhani
9	Lee, Dae Gwan
9	Powell, Alexander M.
9	Walnut, David F.
8	Casazza, Peter George
8	Guo, Xunxiang
8	Kim, Hong Oh
8	Kim, Rae Young
8	Zhou, Xingwei
7	Han, Deguang
7	Okoudjou, Kasso A.
7	Pap, Margit
7	Romero, José Luis
7	Toft, Joachim
6	Farashahi, Arash Ghaani
6	Jiang, Qingtang
6	Li, Shidong
6	Weisz, Ferenc
5	Aldroubi, Akram
5	Antezana, Jorge
5	Corach, Gustavo
5	Czaja, Wojciech
5	Hernandez, Eugenio
5	Kaushik, Shiv Kumar
5	Li, Dengfeng
5	Luef, Franz
5	Sapatinas, Theofanis
5	Voigtlaender, Felix
4	Antoine, Jean-Pierre
4	Ashino, Ryuichi
4	Barbieri, Davide Francesco
4	Bownik, Marcin
4	Jindal, Divya
4	Kaiblinger, Norbert
4	Pensky, Marianna
4	Poria, Anirudha
4	Rauhut, Holger
4	Rubin, Boris
4	Ruiz, Mariano A.
4	Stojanoff, Demetrio
4	Torrésani, Bruno S.
4	Zalik, Richard A.
4	Zhou, Weiqi
3	Abreu, Luís Daniel
3	Balan, Radu V.
3	Balazs, Peter
3	Barranca, Victor J.
3	Boggiatto, Paolo
3	Bölcskei, Helmut
3	Cabrelli, Carlos A.
3	Dahlke, Stephan
3	De Vito, Ernesto
3	del Prete, Vincenza Mauceri
3	Easwaran Nambudiri, T. C.
3	Grafakos, Loukas
3	Jakobsen, Mads Sielemann
3	Janssen, Augustus Josephus Elizabeth Maria
3	Jyoti
3	Kamyabi-Gol, Rajab Ali
3	Koo, Yooyoung
3	Labate, Demetrio
3	Lakey, Joseph D.
3	Lal, Shyam
3	Madhavan Namboothiri, N. M.
3	Madych, Wolodymyr R.
3	Malikiosis, Romanos Diogenes
3	Molter, Ursula Maria
3	Nicola, Fabio
3	Panwar, Suman
3	Philipp, Friedrich
3	Rashkov, Peter
3	San Antolín, Angel
3	Shen, Zuowei
3	Stoeva, Diana T.
3	Strohmer, Thomas
3	Thomas, Jineesh
3	Vaillancourt, Rémi
3	Vampa, Victoria
3	van Velthoven, Jordy Timo
3	Volchkov, Vitaliĭ Vladimirovich
3	Wang, Yang
3	Wojdyłło, Piotr
2	Alipanah, Amjad
2	Aniello, Paolo
2	Antoniou, Ioannis E.
2	Arefijamaal, Ali Akbar
2	Asgari, Mohammad Sadegh
2	Bényi, Árpád
2	Caragea, Andrei
2	Casey, Stephen D.
2	Cassinelli, Gianni
...and 532 more Authors

all top 5

Cited in 163 Serials

68	Applied and Computational Harmonic Analysis
44	The Journal of Fourier Analysis and Applications
29	Journal of Mathematical Analysis and Applications
24	International Journal of Wavelets, Multiresolution and Information Processing
19	Proceedings of the American Mathematical Society
15	Numerical Functional Analysis and Optimization
12	Journal of Functional Analysis
12	The Journal of Geometric Analysis
11	Journal of Mathematical Physics
9	Transactions of the American Mathematical Society
9	Journal of Pseudo-Differential Operators and Applications
8	Journal of Approximation Theory
8	Monatshefte für Mathematik
7	Linear Algebra and its Applications
7	Advances in Computational Mathematics
6	Banach Journal of Mathematical Analysis
5	Applicable Analysis
5	Linear and Multilinear Algebra
5	Journal of Computational and Applied Mathematics
5	Results in Mathematics
5	Acta Applicandae Mathematicae
5	Complex Analysis and Operator Theory
5	Sampling Theory, Signal Processing, and Data Analysis
4	Computers & Mathematics with Applications
4	Applied Numerical Mathematics
4	Annales de l’Institut Henri Poincaré. Physique Théorique
4	Journal of Mathematical Imaging and Vision
4	Acta Mathematica Sinica. English Series
4	Analysis in Theory and Applications
3	Indian Journal of Pure & Applied Mathematics
3	Journal of Computational Physics
3	Arkiv för Matematik
3	Circuits, Systems, and Signal Processing
3	Forum Mathematicum
3	Journal de Mathématiques Pures et Appliquées. Neuvième Série
3	SIAM Journal on Mathematical Analysis
3	Abstract and Applied Analysis
3	Journal of Function Spaces and Applications
3	Sahand Communications in Mathematical Analysis
2	Bulletin of the Australian Mathematical Society
2	Mathematical Methods in the Applied Sciences
2	Rocky Mountain Journal of Mathematics
2	Reviews in Mathematical Physics
2	Advances in Mathematics
2	Annali di Matematica Pura ed Applicata. Serie Quarta
2	The Annals of Statistics
2	Applied Mathematics and Computation
2	Duke Mathematical Journal
2	Integral Equations and Operator Theory
2	Mathematische Annalen
2	Mathematische Nachrichten
2	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2	Zeitschrift für Analysis und ihre Anwendungen
2	Constructive Approximation
2	Revista Matemática Iberoamericana
2	Applied Mathematics Letters
2	Multidimensional Systems and Signal Processing
2	Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2	Journal of Statistical Computation and Simulation
2	Bulletin of the American Mathematical Society. New Series
2	Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2	Advances in Applied Clifford Algebras
2	Bulletin des Sciences Mathématiques
2	Integral Transforms and Special Functions
2	Mathematical Problems in Engineering
2	Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics
2	Journal of Applied Mathematics
2	Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2	Journal of Physics A: Mathematical and Theoretical
2	Electronic Journal of Statistics
2	Asian-European Journal of Mathematics
2	Advances in Mathematical Physics
2	Analysis and Mathematical Physics
2	Cogent Mathematics
1	Acta Mechanica
1	Analysis Mathematica
1	Biological Cybernetics
1	Computer Methods in Applied Mechanics and Engineering
1	Inverse Problems
1	Israel Journal of Mathematics
1	Journal of Statistical Physics
1	Mathematical Proceedings of the Cambridge Philosophical Society
1	Scandinavian Journal of Statistics
1	Mathematics of Computation
1	Chaos, Solitons and Fractals
1	Journal of Geometry and Physics
1	Acta Mathematica Vietnamica
1	Information Sciences
1	International Journal of Mathematics and Mathematical Sciences
1	Inventiones Mathematicae
1	Journal of the American Statistical Association
1	Journal of Differential Equations
1	Journal of the London Mathematical Society. Second Series
1	Journal of Statistical Planning and Inference
1	Mathematics and Computers in Simulation
1	Mathematische Zeitschrift
1	Meccanica
1	Michigan Mathematical Journal
1	Nagoya Mathematical Journal
1	Numerische Mathematik
...and 63 more Serials

all top 5

Cited in 46 Fields

437	Harmonic analysis on Euclidean spaces (42-XX)
114	Functional analysis (46-XX)
112	Information and communication theory, circuits (94-XX)
79	Operator theory (47-XX)
71	Numerical analysis (65-XX)
54	Abstract harmonic analysis (43-XX)
47	Approximations and expansions (41-XX)
31	Partial differential equations (35-XX)
27	Integral transforms, operational calculus (44-XX)
23	Topological groups, Lie groups (22-XX)
23	Statistics (62-XX)
22	Quantum theory (81-XX)
15	Functions of a complex variable (30-XX)
12	Systems theory; control (93-XX)
11	Number theory (11-XX)
11	Linear and multilinear algebra; matrix theory (15-XX)
11	Computer science (68-XX)
11	Biology and other natural sciences (92-XX)
10	Integral equations (45-XX)
9	Real functions (26-XX)
9	Probability theory and stochastic processes (60-XX)
7	Special functions (33-XX)
6	Combinatorics (05-XX)
6	Ordinary differential equations (34-XX)
5	Several complex variables and analytic spaces (32-XX)
5	Dynamical systems and ergodic theory (37-XX)
4	Calculus of variations and optimal control; optimization (49-XX)
4	Convex and discrete geometry (52-XX)
4	Optics, electromagnetic theory (78-XX)
3	Measure and integration (28-XX)
3	Mechanics of deformable solids (74-XX)
2	Algebraic geometry (14-XX)
2	Group theory and generalizations (20-XX)
2	Sequences, series, summability (40-XX)
2	Fluid mechanics (76-XX)
2	Statistical mechanics, structure of matter (82-XX)
2	Operations research, mathematical programming (90-XX)
2	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	History and biography (01-XX)
1	Difference and functional equations (39-XX)
1	Differential geometry (53-XX)
1	General topology (54-XX)
1	Manifolds and cell complexes (57-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Mechanics of particles and systems (70-XX)
1	Geophysics (86-XX)

Walnut, David F.

Co-Authors

Serials

Fields

Publications by Year

Citations contained in zbMATH Open

Cited by 632 Authors

Cited in 163 Serials

Cited in 46 Fields

Citations by Year