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 Documents Indexed: 40 Publications since 1995, including 5 Books Reviewing Activity: 44 Reviews
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Co-Authors

 12 single-authored 9 Casazza, Peter George 8 Okoudjou, Kasso A. 7 Landau, Zeph A. 5 Benedetto, John J. 5 Czaja, Wojciech 5 Heil, Christopher E. 4 Zou, Dongmian 3 Begué, Matthew J. 3 Edidin, Dan 2 Andrews, Travis D. 2 Daubechies, Ingrid Chantal 2 Krishtal, Ilya Arkadievich 2 Singh, Maneesh Kumar 1 Bodmann, Bernhard G. 1 Christensen, Jens Gerlach 1 Clark, Chae 1 Dellatorre, Matthew 1 Kutyniok, Gitta 1 Poor, Harold Vincent 1 Poria, Anirudha 1 Rickard, Scott T. 1 Romero, José Luis 1 Rosca, Justinian P. 1 Vaishampayan, Vinay Anant 1 Verdú, Sergio 1 Wang, Yang
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Serials

 5 Applied and Numerical Harmonic Analysis 4 Applied and Computational Harmonic Analysis 4 The Journal of Fourier Analysis and Applications 2 IEEE Transactions on Information Theory 2 Proceedings of the American Mathematical Society 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Functional Analysis 1 Transactions of the American Mathematical Society 1 Linear Algebra and its Applications 1 Celestial Mechanics and Dynamical Astronomy 1 Mathematical Research Letters 1 Advances in Computational Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Foundations of Computational Mathematics 1 Nonlinear Dynamics and Systems Theory 1 Communications in Information and Systems 1 Operators and Matrices
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Fields

 29 Harmonic analysis on Euclidean spaces (42-XX) 15 Information and communication theory, circuits (94-XX) 8 Functional analysis (46-XX) 8 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 5 Abstract harmonic analysis (43-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX)

Citations contained in zbMATH Open

29 Publications have been cited 566 times in 371 Documents Cited by Year
On signal reconstruction without phase. Zbl 1090.94006
Balan, Radu; Casazza, Pete; Edidin, Dan
2006
Density, overcompleteness, and localization of frames. I: Theory. Zbl 1096.42014
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2006
Painless reconstruction from magnitudes of frame coefficients. Zbl 1181.42032
Balan, Radu; Bodmann, Bernhard G.; Casazza, Peter G.; Edidin, Dan
2009
Density, overcompleteness, and localization of frames. II: Gabor systems. Zbl 1097.42022
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2006
Deficits and excesses of frames. Zbl 1029.42030
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2003
Stability theorems for Fourier frames and wavelet Riesz bases. Zbl 0908.42025
1997
Density and redundancy of the noncoherent Weyl-Heisenberg superframes. Zbl 0944.42029
1999
The noncommutative Wiener lemma, linear independence, and spectral properties of the algebra of time-frequency shift operators. Zbl 1145.43002
2008
Equivalence relations and distances between Hilbert frames. Zbl 0922.42025
1999
An almost periodic noncommutative Wiener’s Lemma. Zbl 1211.46043
2010
Invertibility and robustness of phaseless reconstruction. Zbl 1337.42032
2015
A new identity for Parseval frames. Zbl 1136.42308
Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta
2007
Redundancy for localized frames. Zbl 1254.42037
Balan, Radu; Casazza, Pete; Landau, Zeph
2011
Excesses of Gabor frames. Zbl 1028.42021
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2003
The analysis and design of windowed Fourier frame based multiple description source coding schemes. Zbl 0998.94011
Balan, Radu; Daubechies, Ingrid; Vaishampayan, Vinay
2000
On Lipschitz analysis and Lipschitz synthesis for the phase retrieval problem. Zbl 1332.15042
2016
Reconstruction of signals from magnitudes of redundant representations: the complex case. Zbl 1343.65063
2016
Measure functions for frames. Zbl 1133.46012
2007
Density, overcompleteness, and localization of frames. Zbl 1142.42313
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2006
Extensions of no-go theorems to many signal systems. Zbl 0902.42018
1998
Multi-window Gabor frames in amalgam spaces. Zbl 1297.42042
Balan, Radu; Christensen, Jens G.; Krishtal, Ilya A.; Okoudjou, Kasso A.; Romero, José Luis
2014
An extension of Barbashin-Krasovskii-LaSalle theorem to a class of nonautonomous systems. Zbl 1233.34021
2008
Lipschitz properties for deep convolutional networks. Zbl 1402.62224
Balan, Radu; Singh, Maneesh; Zou, Dongmian
2018
Canonical time-fequency, time-scale, and frequency-scale representations of time-varying channels. Zbl 1090.94017
Rickard, Scott T.; Balan, Radu V.; Poor, H. Vincent; Verdú, Sergio
2005
Optimal stochastic encoding and approximation schemes using Weyl-Heisenberg sets. Zbl 1033.94001
2003
Optimization methods for frame conditioning and application to graph Laplacian scaling. Zbl 1385.42026
Balan, Radu; Begué, Matthew; Clark, Chae; Okoudjou, Kasso
2017
Frames and phaseless reconstruction. Zbl 1368.65072
2016
An uncertainty inequality for wavelet sets. Zbl 0889.42024
1998
On Lipschitz inversion of nonlinear redundant representations. Zbl 1360.15020
2015
Lipschitz properties for deep convolutional networks. Zbl 1402.62224
Balan, Radu; Singh, Maneesh; Zou, Dongmian
2018
Optimization methods for frame conditioning and application to graph Laplacian scaling. Zbl 1385.42026
Balan, Radu; Begué, Matthew; Clark, Chae; Okoudjou, Kasso
2017
On Lipschitz analysis and Lipschitz synthesis for the phase retrieval problem. Zbl 1332.15042
2016
Reconstruction of signals from magnitudes of redundant representations: the complex case. Zbl 1343.65063
2016
Frames and phaseless reconstruction. Zbl 1368.65072
2016
Invertibility and robustness of phaseless reconstruction. Zbl 1337.42032
2015
On Lipschitz inversion of nonlinear redundant representations. Zbl 1360.15020
2015
Multi-window Gabor frames in amalgam spaces. Zbl 1297.42042
Balan, Radu; Christensen, Jens G.; Krishtal, Ilya A.; Okoudjou, Kasso A.; Romero, José Luis
2014
Redundancy for localized frames. Zbl 1254.42037
Balan, Radu; Casazza, Pete; Landau, Zeph
2011
An almost periodic noncommutative Wiener’s Lemma. Zbl 1211.46043
2010
Painless reconstruction from magnitudes of frame coefficients. Zbl 1181.42032
Balan, Radu; Bodmann, Bernhard G.; Casazza, Peter G.; Edidin, Dan
2009
The noncommutative Wiener lemma, linear independence, and spectral properties of the algebra of time-frequency shift operators. Zbl 1145.43002
2008
An extension of Barbashin-Krasovskii-LaSalle theorem to a class of nonautonomous systems. Zbl 1233.34021
2008
A new identity for Parseval frames. Zbl 1136.42308
Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta
2007
Measure functions for frames. Zbl 1133.46012
2007
On signal reconstruction without phase. Zbl 1090.94006
Balan, Radu; Casazza, Pete; Edidin, Dan
2006
Density, overcompleteness, and localization of frames. I: Theory. Zbl 1096.42014
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2006
Density, overcompleteness, and localization of frames. II: Gabor systems. Zbl 1097.42022
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2006
Density, overcompleteness, and localization of frames. Zbl 1142.42313
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2006
Canonical time-fequency, time-scale, and frequency-scale representations of time-varying channels. Zbl 1090.94017
Rickard, Scott T.; Balan, Radu V.; Poor, H. Vincent; Verdú, Sergio
2005
Deficits and excesses of frames. Zbl 1029.42030
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2003
Excesses of Gabor frames. Zbl 1028.42021
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2003
Optimal stochastic encoding and approximation schemes using Weyl-Heisenberg sets. Zbl 1033.94001
2003
The analysis and design of windowed Fourier frame based multiple description source coding schemes. Zbl 0998.94011
Balan, Radu; Daubechies, Ingrid; Vaishampayan, Vinay
2000
Density and redundancy of the noncoherent Weyl-Heisenberg superframes. Zbl 0944.42029
1999
Equivalence relations and distances between Hilbert frames. Zbl 0922.42025
1999
Extensions of no-go theorems to many signal systems. Zbl 0902.42018
1998
An uncertainty inequality for wavelet sets. Zbl 0889.42024
1998
Stability theorems for Fourier frames and wavelet Riesz bases. Zbl 0908.42025
1997
all top 5

Cited by 456 Authors

 18 Gröchenig, Karlheinz 16 Casazza, Peter George 16 Han, Deguang 15 Sun, Qiyu 15 Sun, Wenchang 12 Balan, Radu V. 11 Romero, José Luis 10 Heil, Christopher E. 10 Krishtal, Ilya Arkadievich 9 Li, Yunzhang 9 Wang, Yang 8 Kutyniok, Gitta 7 Baskakov, Anatoliĭ Grigor’evich 7 Bodmann, Bernhard G. 7 Grohs, Philipp 6 Christensen, Ole 6 Koo, Yooyoung 6 Lim, Jae Kun 6 Xu, Zhiqiang 5 Alaifari, Rima 5 Candès, Emmanuel J. 5 Edidin, Dan 5 Krahmer, Felix 5 Mixon, Dustin G. 5 Tremain, Janet C. 5 Zhou, Xingwei 4 Abreu, Luís Daniel 4 Beinert, Robert 4 Cahill, Jameson 4 Kech, Michael 4 Kueng, Richard 4 Landau, Zeph A. 4 Lou, Yifei 4 Marchesini, Stefano 4 Okoudjou, Kasso A. 4 Pfander, Götz E. 4 Rauhut, Holger 4 Strohmer, Thomas 3 Aldroubi, Akram 3 Chang, Huibin 3 Chen, Qiuhui 3 Cheng, Cheng 3 Cheng, Chuangxun 3 Daubechies, Ingrid Chantal 3 Fard, Mohammad Ali Hasankhani 3 Fickus, Matthew C. 3 Gabardo, Jean-Pierre 3 Iwen, Mark A. 3 Juste, Ted 3 Kaushik, Shiv Kumar 3 Larson, David Royal 3 Nazari, Akbar 3 Novikov, S. Ya. 3 Powell, Alexander M. 3 Qian, Tao 3 Rashidi-Kouchi, Mehdi 3 Ruiz, Mariano A. 3 Shin, Chang Eon 3 Stojanoff, Demetrio 3 Strukova, Irina Igor’evna 3 Vashisht, Lalit Kumar 3 Voroninski, Vladislav 3 Wang, Hongxia 3 Weber, Eric S. 3 Xiang, Zhongqi 3 Xiao, Xiangchun 3 Xu, Zhiqiang 3 Zeng, Tie Yong 3 Zhu, Yucan 2 Antezana, Jorge 2 Appleby, D. M. 2 Balazs, Peter 2 Benedetto, John J. 2 Bishop, Shannon 2 Boche, Holger 2 Botelho-Andrade, Sara 2 Bownik, Marcin 2 Cai, Jian-Feng 2 Chen, Pengwen 2 Chen, Qingjiang 2 Cheng, Desai 2 Corach, Gustavo 2 Corso, Rosario 2 Daraby, Bayaz 2 Dörfler, Monika 2 Ehler, Martin 2 Eldar, Yonina Chana 2 Fannjiang, Albert C. 2 Feichtinger, Hans Georg 2 Fornasier, Massimo 2 Futamura, Fumiko 2 Gao, Bing 2 Gross, Benedict Hyman 2 Gumber, Anupam 2 Guo, Xunxiang 2 Haas, John I. IV 2 Haimi, Antti 2 Hammen, Nathaniel 2 Jakobsen, Mads Sielemann 2 Jaming, Philippe ...and 356 more Authors
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Cited in 112 Serials

 54 Applied and Computational Harmonic Analysis 33 The Journal of Fourier Analysis and Applications 19 Journal of Mathematical Analysis and Applications 17 Linear Algebra and its Applications 16 Journal of Functional Analysis 10 Advances in Computational Mathematics 9 Journal of Approximation Theory 8 Proceedings of the American Mathematical Society 8 Transactions of the American Mathematical Society 8 International Journal of Wavelets, Multiresolution and Information Processing 7 Results in Mathematics 6 Inverse Problems 6 Numerical Functional Analysis and Optimization 5 Journal of Mathematical Physics 5 Monatshefte für Mathematik 5 Acta Applicandae Mathematicae 5 Foundations of Computational Mathematics 4 Integral Equations and Operator Theory 4 Mediterranean Journal of Mathematics 4 Complex Analysis and Operator Theory 4 Banach Journal of Mathematical Analysis 4 Science China. Mathematics 3 Journal of Scientific Computing 3 Journal of Inequalities and Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 SIAM Journal on Imaging Sciences 3 Information and Inference 3 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 2 Communications on Pure and Applied Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Chaos, Solitons and Fractals 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Constructive Approximation 2 Applied Mathematics Letters 2 The Journal of Geometric Analysis 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 2 Acta Mathematica Sinica. English Series 2 Lobachevskii Journal of Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 Journal of Mathematical Inequalities 2 Analysis and Mathematical Physics 2 Journal of Function Spaces 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 SIAM Journal on Control and Optimization 1 Siberian Mathematical Journal 1 Advances in Applied Mathematics 1 Revista Matemática Iberoamericana 1 Asia-Pacific Journal of Operational Research 1 Multidimensional Systems and Signal Processing 1 Journal of Global Optimization 1 Journal of Statistical Computation and Simulation 1 Bulletin of the American Mathematical Society. New Series 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Georgian Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Electronic Research Announcements of the American Mathematical Society 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Problems in Engineering 1 Mathematical Communications 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Applied Mathematics E-Notes 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Quantum Information Processing 1 Sampling Theory in Signal and Image Processing 1 Journal of Function Spaces and Applications 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Industrial and Management Optimization 1 Inverse Problems in Science and Engineering 1 GAMM-Mitteilungen 1 Complex Variables and Elliptic Equations 1 Involve 1 Armenian Journal of Mathematics 1 Advances in Pure and Applied Mathematics ...and 12 more Serials
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Cited in 45 Fields

 271 Harmonic analysis on Euclidean spaces (42-XX) 105 Information and communication theory, circuits (94-XX) 88 Functional analysis (46-XX) 53 Operator theory (47-XX) 41 Numerical analysis (65-XX) 24 Approximations and expansions (41-XX) 23 Operations research, mathematical programming (90-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 18 Abstract harmonic analysis (43-XX) 16 Quantum theory (81-XX) 14 Computer science (68-XX) 12 Statistics (62-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Probability theory and stochastic processes (60-XX) 8 Partial differential equations (35-XX) 7 Topological groups, Lie groups (22-XX) 6 Optics, electromagnetic theory (78-XX) 5 Functions of a complex variable (30-XX) 5 Ordinary differential equations (34-XX) 4 Group theory and generalizations (20-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-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 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)