×
Author ID: walnut.david-f Recent zbMATH articles by "Walnut, David F."
Published as: Walnut, David F.; Walnut, David; Walnut, D.; Walnut, D. F.

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 703 times in 564 Documents Cited by Year
Continuous and discrete wavelet transforms. Zbl 0683.42031
Heil, Christopher E.; Walnut, David F.
262
1989
Differentiation and the Balian-Low theorem. Zbl 0887.42026
Benedetto, John J.; Heil, Christopher; Walnut, David F.
71
1995
An introduction to wavelet analysis. Zbl 0989.42014
Walnut, David F.
53
2002
Gabor frames for \(L^ 2\) and related spaces. Zbl 0887.42025
Benedetto, John J.; Walnut, David F.
47
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
33
2005
Wilson bases and modulation spaces. Zbl 0794.46009
Feichtinger, H. G.; Gröchenig, K.; Walnut, D.
33
1992
Measurement of time-variant linear channels. Zbl 1323.94087
Pfander, Götz E.; Walnut, David F.
25
2006
Systems of convolution equations, deconvolution, Shannon sampling, and the wavelet and Gabor transforms. Zbl 0814.45001
Casey, Stephen D.; Walnut, David F.
17
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
Local inversion of the Radon transform in even dimensions using wavelets. Zbl 0823.44003
Berenstein, Carlos A.; Walnut, David F.
12
1994
Sampling and reconstruction of operators. Zbl 1359.94383
Pfander, Götz E.; Walnut, David F.
12
2016
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
Uncertainty principles for time-frequency operators. Zbl 0790.42017
Benedetto, John; Heil, Christopher; Walnut, David
6
1992
Lattice size estimates for Gabor decompositions. Zbl 0848.42022
Walnut, David F.
6
1993
Construction of sampling theorems for unions of shifted lattices. Zbl 1156.94316
Behmard, Hamid; Faridani, Adel; Walnut, David
6
2006
Nonperiodic sampling of bandlimited functions on unions of rectangular lattices. Zbl 1056.42513
Walnut, David
4
1996
Cornerstones of sampling of operator theory. Zbl 1370.47071
Walnut, David; Pfander, Götz E.; Kailath, Thomas
4
2015
Nonperiodic sampling and the local three squares theorem. Zbl 1012.42003
Gröchenig, Karlheinz; Heil, Christopher; Walnut, David
3
2000
Sampling and the multisensor deconvolution problem. Zbl 0807.42020
Walnut, David F.
3
1994
Wavelets and local tomography. Zbl 0849.92011
Berenstein, Carlos A.; Walnut, David F.
2
1996
Solutions to deconvolution equations using nonperiodic sampling. Zbl 0954.42021
Walnut, David
2
1998
Sampling of unions of shifted lattices in one dimension. Zbl 1129.94305
Rom, Bjarte; Walnut, David
2
2006
Local multichannel deconvolution. Zbl 1052.68139
Easley, G. R.; Walnut, D. F.
1
2003
Bases of complex exponentials with restricted supports. Zbl 1508.42037
Lee, Dae Gwan; Pfander, Götz E.; Walnut, David
1
2023
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
Bases of complex exponentials with restricted supports. Zbl 1508.42037
Lee, Dae Gwan; Pfander, Götz E.; Walnut, David
1
2023
Sampling and reconstruction of operators. Zbl 1359.94383
Pfander, Götz E.; Walnut, David F.
12
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.
25
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
2
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
33
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.
53
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
4
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.
71
1995
Gabor frames for \(L^ 2\) and related spaces. Zbl 0887.42025
Benedetto, John J.; Walnut, David F.
47
1994
Systems of convolution equations, deconvolution, Shannon sampling, and the wavelet and Gabor transforms. Zbl 0814.45001
Casey, Stephen D.; Walnut, David F.
17
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.
6
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.
33
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.
262
1989
all top 5

Cited by 620 Authors

25 Gröchenig, Karlheinz
23 Pfander, Götz E.
21 Christensen, Ole
21 Sun, Wenchang
17 Feichtinger, Hans Georg
14 Heil, Christopher E.
11 Benedetto, John Joseph
10 Lim, Jae Kun
9 Fard, Mohammad Ali Hasankhani
8 Casazza, Peter George
8 Guo, Xunxiang
8 Kim, Hong Oh
8 Kim, Rae Young
8 Lee, Dae Gwan
8 Powell, Alexander M.
8 Vashisht, Lalit Kumar
8 Walnut, David F.
8 Zhou, Xingwei
7 Han, Deguang
7 Okoudjou, Kasso A.
7 Pap, Margit
6 Farashahi, Arash Ghaani
6 Jiang, Qingtang
6 Li, Shidong
6 Romero, José Luis
6 Toft, Joachim
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 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.
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 Jindal, Divya
3 Kamyabi-Gol, Rajab Ali
3 Koo, Yooyoung
3 Labate, Demetrio
3 Lakey, Joseph D.
3 Lal, Shyam
3 Madych, Wolodymyr R.
3 Malikiosis, Romanos Diogenes
3 Molter, Ursula Maria
3 Panwar, Suman
3 Philipp, Friedrich
3 Rashkov, Peter
3 San Antolín, Angel
3 Shen, Zuowei
3 Stoeva, Diana T.
3 Strohmer, Thomas
3 Vaillancourt, Rémi
3 Vampa, Victoria
3 van Velthoven, Jordy Timo
3 Volchkov, Vitaliĭ Vladimirovich
3 Wang, Yang
3 Wojdyłło, Piotr
3 Zhou, Weiqi
2 Aniello, Paolo
2 Antoniou, Ioannis E.
2 Arefijamaal, Ali Akbar
2 Asgari, Mohammad Sadegh
2 Bényi, Árpád
2 Caragea, Andrei
2 Cassinelli, Gianni
2 Cerejeiras, Paula
2 Chen, Qiuhui
2 Cordero, Elena
2 De Mari, Filippo
2 Debernardi, Alberto
2 Dehghan, Mohammad Ali
...and 520 more Authors
all top 5

Cited in 160 Serials

68 Applied and Computational Harmonic Analysis
44 The Journal of Fourier Analysis and Applications
29 Journal of Mathematical Analysis and Applications
23 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
5 Applicable Analysis
5 Linear and Multilinear Algebra
5 Journal of Computational and Applied Mathematics
5 Acta Applicandae Mathematicae
5 Complex Analysis and Operator Theory
5 Banach Journal of Mathematical Analysis
5 Sampling Theory, Signal Processing, and Data Analysis
4 Computers & Mathematics with Applications
4 Results in Mathematics
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 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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 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 Forum Mathematicum
2 Multidimensional Systems and Signal Processing
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 SIAM Journal on Mathematical Analysis
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 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 Advances in Mathematics
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
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
...and 60 more Serials
all top 5

Cited in 46 Fields

428 Harmonic analysis on Euclidean spaces (42-XX)
111 Functional analysis (46-XX)
108 Information and communication theory, circuits (94-XX)
74 Operator theory (47-XX)
70 Numerical analysis (65-XX)
51 Abstract harmonic analysis (43-XX)
47 Approximations and expansions (41-XX)
30 Partial differential equations (35-XX)
27 Integral transforms, operational calculus (44-XX)
22 Topological groups, Lie groups (22-XX)
22 Statistics (62-XX)
20 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)
8 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 Convex and discrete geometry (52-XX)
4 Optics, electromagnetic theory (78-XX)
3 Measure and integration (28-XX)
3 Calculus of variations and optimal control; optimization (49-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)

Citations by Year