Edit Profile (opens in new tab) Weber, Eric S. Compute Distance To: Compute Author ID: weber.eric-s Published as: Weber, Eric; Weber, Eric S.; Weber, E. more...less Documents Indexed: 47 Publications since 1999, including 1 Book 2 Contributions as Editor Co-Authors: 59 Co-Authors with 41 Joint Publications 835 Co-Co-Authors all top 5 Co-Authors 8 single-authored 6 Dutkay, Dorin Ervin 5 Han, Deguang 5 Herr, John E. 5 Larson, David Royal 4 Jørgensen, Palle E. T. 4 Tang, Wai-Shing 3 al-Sa’di, Sa’ud 3 Harding, Steven N. 3 Kornelson, Keri A. 3 Picioroaga, Gabriel 2 Aboud, Anna 2 Aldroubi, Akram 2 Bhatt, Ghanshyam 2 Camrud, Evan 2 Casazza, Peter George 2 Przybylski, Lee 1 Bodin, Derek 1 Borgard, Riley 1 Byars, Allison 1 Camrud, Caleb 1 Catanzaro, Michael J. 1 Christoffersen, Nicholas 1 Curl, Emelie 1 Decleene, Christopher 1 Duba, Haley 1 Ducheyne, Steffen 1 Dykema, Kenneth J. 1 Fickus, Matthew C. 1 Freeman, Dan 1 Furst, Veronika 1 Hager, William W. 1 Harkins, Ryan C. 1 Haussermann, John 1 Hegde, Chinmay 1 Hotchkiss, Calvin 1 Johnson, Brody Dylan 1 Keinert, Fritz 1 Kim, Yeonhyang 1 Kraus, Lorraine 1 Krishtal, Ilya Arkadievich 1 Lai, Chun-Kit 1 Littmann, Friedrich 1 Makdad, Chloe M. 1 Mayfield, Jay P. 1 McCarty, Sarah 1 Narayan, Sivaram K. 1 Ordower, Marc S. 1 Otto, Carolyn 1 Penkava, Michael 1 Phillipson, Mitch 1 Schaffer Vestal, Sharon 1 Steinbach, Ryan 1 Sullivan, Keith 1 Sun, Qiyu 1 Tremain, Janet C. 1 Tuggle, Randal 1 Vaughan, Mary 1 Walters, Laura 1 Westmeyer, Andrew all top 5 Serials 4 The Journal of Fourier Analysis and Applications 3 Proceedings of the American Mathematical Society 3 Linear Algebra and its Applications 3 Applied and Computational Harmonic Analysis 3 Complex Analysis and Operator Theory 2 Demonstratio Mathematica 2 Transactions of the American Mathematical Society 2 Contemporary Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Acta Applicandae Mathematicae 1 Experimental Mathematics 1 Communications in Contemporary Mathematics 1 Logic and Logical Philosophy 1 International Journal of Pure and Applied Mathematics 1 Student Mathematical Library 1 Axioms all top 5 Fields 33 Harmonic analysis on Euclidean spaces (42-XX) 16 Functional analysis (46-XX) 12 Measure and integration (28-XX) 12 Information and communication theory, circuits (94-XX) 10 Operator theory (47-XX) 9 Numerical analysis (65-XX) 8 Functions of a complex variable (30-XX) 6 Abstract harmonic analysis (43-XX) 5 Approximations and expansions (41-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 334 times in 259 Documents Cited by ▼ Year ▼ Frames for undergraduates. Zbl 1143.42001Han, Deguang; Kornelson, Keri; Larson, David; Weber, Eric 59 2007 On the Beurling dimension of exponential frames. Zbl 1209.28010Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu; Weber, Eric 47 2011 The Kadison–Singer problem in mathematics and engineering: a detailed account. Zbl 1110.46038Casazza, Peter G.; Fickus, Matthew; Tremain, Janet C.; Weber, Eric 30 2006 Ellipsoidal tight frames and projection decompositions of operators. Zbl 1064.42020Dykema, Ken; Freeman, Dan; Kornelson, Keri; Larson, David; Ordower, Marc; Weber, Eric 30 2004 Orthogonal frames of translates. Zbl 1042.42038Weber, Eric 23 2004 Orthogonal wavelet frames and vector-valued wavelet transforms. Zbl 1136.42026Bhatt, Ghanshyam; Johnson, Brody Dylan; Weber, Eric 20 2007 Continuous and discrete Fourier frames for fractal measures. Zbl 1364.28006Dutkay, Dorin Ervin; Han, Deguang; Weber, Eric 14 2014 Geometric aspects of frame representations of abelian groups. Zbl 1054.43008Aldroubi, Akram; Larson, David; Tang, Wai-Shing; Weber, Eric 13 2004 Bessel sequences of exponentials on fractal measures. Zbl 1229.28011Dutkay, Dorin Ervin; Han, Deguang; Weber, Eric 13 2011 Applications of the wavelet multiplicity function. Zbl 0960.42014Weber, Eric 9 1999 On the translation invariance of wavelet subspaces. Zbl 0960.42015Weber, Eric 8 2000 Fourier frames for the Cantor-4 set. Zbl 1362.42066Picioroaga, Gabriel; Weber, Eric S. 8 2017 Fourier series for singular measures. Zbl 1422.42009Herr, John E.; Weber, Eric S. 7 2017 Positive matrices in the Hardy space with prescribed boundary representations via the Kaczmarz algorithm. Zbl 1428.30044Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 6 2019 Multiwavelets associated with countable groups of unitary operators in Hilbert spaces. Zbl 1058.46010Larson, D. R.; Tang, W. S.; Weber, E. 5 2003 A matrix characterization of boundary representations of positive matrices in the Hardy space. Zbl 1407.46021Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 5 2018 Frames and single wavelets for unitary groups. Zbl 1005.42022Weber, Eric 4 2002 Wavelet transforms and admissible group representations. Zbl 1268.42079Weber, Eric 3 2008 Encryption schemes using finite frames and Hadamard arrays. Zbl 1090.94019Harkins, Ryan; Weber, Eric; Westmeyer, Andrew 3 2005 A characterization of boundary representations of positive matrices in the Hardy space via the Abel product. Zbl 1429.46019Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 3 2019 Conjugate phase retrieval in Paley-Wiener space. Zbl 1479.94089Lai, Chun-Kit; Littmann, Friedrich; Weber, Eric S. 3 2021 A Paley-Wiener type theorem for singular measures on \((-1/2, 1/2)\). Zbl 1427.30047Weber, Eric S. 2 2019 The geometry of sampling on unions of lattices. Zbl 1045.42018Weber, Eric 2 2004 Spectral properties of small Hadamard matrices. Zbl 1382.15045Dutkay, Dorin Ervin; Haussermann, John; Weber, Eric 2 2016 On hiding messages in the oversampled Fourier coefficients. Zbl 1091.94019Bhatt, Ghanshyam; Kraus, Lorraine; Walters, Laura; Weber, Eric 2 2006 Frame vectors for representations of abelian groups. Zbl 1097.43004Tang, Wai Shing; Weber, Eric 2 2006 The dual Kaczmarz algorithm. Zbl 1486.65057Aboud, Anna; Curl, Emelie; Harding, Steven N.; Vaughan, Mary; Weber, Eric S. 2 2020 Finite dimensional dynamical sampling: an overview. Zbl 1371.94583Aldroubi, Akram; Krishtal, Ilya; Weber, Eric 2 2015 Frames and harmonic analysis. AMS special session on frames, wavelets and Gabor systems and special session on frames, harmonic analysis, and operator theory, North Dakota State University, Fargo, ND, USA, April 16–17, 2016. Proceedings. Zbl 1390.42001 1 2018 Orthonormal wavelets and shift invariant generalized multiresolution analyses. Zbl 1037.42039Schaffer Vestal, Sharon; Weber, Eric 1 2003 The Kadison-Singer problem and the uncertainty principle. Zbl 1154.42005Casazza, Peter G.; Weber, Eric 1 2008 Robertson-type theorems for countable groups of unitary operators. Zbl 1112.46025Larson, David R.; Tang, Wai-Shing; Weber, Eric 1 2006 Sampling and interpolation of cumulative distribution functions of Cantor sets in \([0,1]\). Appendix. Zbl 1467.94017Byars, Allison; Camrud, Evan; Harding, Steven N.; McCarty, Sarah; Sullivan, Keith; Weber, Eric S. 1 2021 Sampling in de Branges spaces and Naimark dilation. Zbl 1408.94907al-Sa’di, Sa’ud; Weber, Eric S. 1 2017 The moduli space of \(1|1\)-dimensional complex associative algebras. Zbl 1285.16025Bodin, Derek; Decleene, Christopher; Hager, William; Otto, Carolyn; Penkava, Michael; Phillipson, Mitch; Steinbach, Ryan; Weber, Eric 1 2012 Conjugate phase retrieval in Paley-Wiener space. Zbl 1479.94089Lai, Chun-Kit; Littmann, Friedrich; Weber, Eric S. 3 2021 Sampling and interpolation of cumulative distribution functions of Cantor sets in \([0,1]\). Appendix. Zbl 1467.94017Byars, Allison; Camrud, Evan; Harding, Steven N.; McCarty, Sarah; Sullivan, Keith; Weber, Eric S. 1 2021 The dual Kaczmarz algorithm. Zbl 1486.65057Aboud, Anna; Curl, Emelie; Harding, Steven N.; Vaughan, Mary; Weber, Eric S. 2 2020 Positive matrices in the Hardy space with prescribed boundary representations via the Kaczmarz algorithm. Zbl 1428.30044Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 6 2019 A characterization of boundary representations of positive matrices in the Hardy space via the Abel product. Zbl 1429.46019Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 3 2019 A Paley-Wiener type theorem for singular measures on \((-1/2, 1/2)\). Zbl 1427.30047Weber, Eric S. 2 2019 A matrix characterization of boundary representations of positive matrices in the Hardy space. Zbl 1407.46021Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 5 2018 Frames and harmonic analysis. AMS special session on frames, wavelets and Gabor systems and special session on frames, harmonic analysis, and operator theory, North Dakota State University, Fargo, ND, USA, April 16–17, 2016. Proceedings. Zbl 1390.42001 1 2018 Fourier frames for the Cantor-4 set. Zbl 1362.42066Picioroaga, Gabriel; Weber, Eric S. 8 2017 Fourier series for singular measures. Zbl 1422.42009Herr, John E.; Weber, Eric S. 7 2017 Sampling in de Branges spaces and Naimark dilation. Zbl 1408.94907al-Sa’di, Sa’ud; Weber, Eric S. 1 2017 Spectral properties of small Hadamard matrices. Zbl 1382.15045Dutkay, Dorin Ervin; Haussermann, John; Weber, Eric 2 2016 Finite dimensional dynamical sampling: an overview. Zbl 1371.94583Aldroubi, Akram; Krishtal, Ilya; Weber, Eric 2 2015 Continuous and discrete Fourier frames for fractal measures. Zbl 1364.28006Dutkay, Dorin Ervin; Han, Deguang; Weber, Eric 14 2014 The moduli space of \(1|1\)-dimensional complex associative algebras. Zbl 1285.16025Bodin, Derek; Decleene, Christopher; Hager, William; Otto, Carolyn; Penkava, Michael; Phillipson, Mitch; Steinbach, Ryan; Weber, Eric 1 2012 On the Beurling dimension of exponential frames. Zbl 1209.28010Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu; Weber, Eric 47 2011 Bessel sequences of exponentials on fractal measures. Zbl 1229.28011Dutkay, Dorin Ervin; Han, Deguang; Weber, Eric 13 2011 Wavelet transforms and admissible group representations. Zbl 1268.42079Weber, Eric 3 2008 The Kadison-Singer problem and the uncertainty principle. Zbl 1154.42005Casazza, Peter G.; Weber, Eric 1 2008 Frames for undergraduates. Zbl 1143.42001Han, Deguang; Kornelson, Keri; Larson, David; Weber, Eric 59 2007 Orthogonal wavelet frames and vector-valued wavelet transforms. Zbl 1136.42026Bhatt, Ghanshyam; Johnson, Brody Dylan; Weber, Eric 20 2007 The Kadison–Singer problem in mathematics and engineering: a detailed account. Zbl 1110.46038Casazza, Peter G.; Fickus, Matthew; Tremain, Janet C.; Weber, Eric 30 2006 On hiding messages in the oversampled Fourier coefficients. Zbl 1091.94019Bhatt, Ghanshyam; Kraus, Lorraine; Walters, Laura; Weber, Eric 2 2006 Frame vectors for representations of abelian groups. Zbl 1097.43004Tang, Wai Shing; Weber, Eric 2 2006 Robertson-type theorems for countable groups of unitary operators. Zbl 1112.46025Larson, David R.; Tang, Wai-Shing; Weber, Eric 1 2006 Encryption schemes using finite frames and Hadamard arrays. Zbl 1090.94019Harkins, Ryan; Weber, Eric; Westmeyer, Andrew 3 2005 Ellipsoidal tight frames and projection decompositions of operators. Zbl 1064.42020Dykema, Ken; Freeman, Dan; Kornelson, Keri; Larson, David; Ordower, Marc; Weber, Eric 30 2004 Orthogonal frames of translates. Zbl 1042.42038Weber, Eric 23 2004 Geometric aspects of frame representations of abelian groups. Zbl 1054.43008Aldroubi, Akram; Larson, David; Tang, Wai-Shing; Weber, Eric 13 2004 The geometry of sampling on unions of lattices. Zbl 1045.42018Weber, Eric 2 2004 Multiwavelets associated with countable groups of unitary operators in Hilbert spaces. Zbl 1058.46010Larson, D. R.; Tang, W. S.; Weber, E. 5 2003 Orthonormal wavelets and shift invariant generalized multiresolution analyses. Zbl 1037.42039Schaffer Vestal, Sharon; Weber, Eric 1 2003 Frames and single wavelets for unitary groups. Zbl 1005.42022Weber, Eric 4 2002 On the translation invariance of wavelet subspaces. Zbl 0960.42015Weber, Eric 8 2000 Applications of the wavelet multiplicity function. Zbl 0960.42014Weber, Eric 9 1999 all cited Publications top 5 cited Publications all top 5 Cited by 320 Authors 24 Weber, Eric S. 22 Jørgensen, Palle E. T. 17 Dutkay, Dorin Ervin 14 Han, Deguang 11 Casazza, Peter George 10 Lai, Chun-Kit 9 Kaftal, Victor G. 8 Bownik, Marcin 8 He, Xinggang 8 Kornelson, Keri A. 8 Larson, David Royal 7 Zhang, Shuang 6 Aldroubi, Akram 6 Li, Yunzhang 6 Liu, Rui 6 Massey, Pedro G. 6 Ng, Ping Wong 5 An, Lixiang 5 Herr, John E. 4 Cabrelli, Carlos A. 4 Dai, Xinrong 4 Johnson, P. Sam 4 Krishna, Krishnanagara Mahesh 4 Mixon, Dustin G. 4 Molter, Ursula Maria 4 Okoudjou, Kasso A. 4 Picioroaga, Gabriel 4 Ruiz, Mariano A. 4 Scholze, Sam 4 Shuman, Karen L. 4 Speegle, Darrin M. 4 Stojanoff, Demetrio 4 Sun, Wenchang 4 Tang, Min-wei 4 Tian, James F. 4 Vashisht, Lalit Kumar 3 Asgari, Mohammad Sadegh 3 Bhatt, Ghanshyam 3 Cahill, Jameson 3 Chen, Qingjiang 3 Deepshikha 3 Fu, Xiaoye 3 Fu, Yan-Song 3 Gumber, Anupam 3 Huang, Ting-Zhu 3 Kutyniok, Gitta 3 Leng, Jinsong 3 Narayan, Sivaram K. 3 Ranasinghe, Rajitha 3 Rzeszotnik, Ziemowit 3 Shukla, Niraj K. 3 Sun, Qiyu 3 Wang, Haichao 3 Wu, Zhiyi 3 Yan, Zhi-Hui 3 Yin, Fengli 3 Zhang, Qingyue 3 Zhao, Jing 2 al-Sa’di, Sa’ud 2 Alpay, Daniel Aron 2 Baggett, Lawrence Wasson 2 Bodmann, Bernhard G. 2 Bourin, Jean-Christophe 2 Camrud, Evan 2 Cao, Huaixin 2 Copenhaver, Martin S. 2 Farhadi, Fariba Zeinal Zadeh 2 Fickus, Matthew C. 2 Furst, Veronika 2 Gabardo, Jean-Pierre 2 Gu, Qing 2 Guo, Xunxiang 2 He, Liu 2 Heinecke, Andreas 2 Johnson, Brody Dylan 2 Krishtal, Ilya Arkadievich 2 Lau, Kasing 2 Laugesen, Richard Snyder 2 Lee, Eun-Young 2 Li, Dongwei 2 Li, Youfa 2 Lim, Jae Kun 2 Londner, Itay 2 Mardanbeigi, Mohammad Reza 2 Merrill, Kathy D. 2 Packer, Judith A. 2 Przybylski, Lee 2 Shen, Zuowei 2 Silvestrov, Sergei D. 2 Song, Myung-Sin 2 Strawn, Nate 2 Tang, Wai-Shing 2 Tessera, Romain 2 Tian, Feng 2 Wang, Cong 2 Wang, Yang 2 Zheng, Bentuo 2 Zhu, Meng 1 Abdollahi, Farshid 1 Aboud, Anna ...and 220 more Authors all top 5 Cited in 84 Serials 23 Journal of Functional Analysis 17 Applied and Computational Harmonic Analysis 16 The Journal of Fourier Analysis and Applications 15 Journal of Mathematical Analysis and Applications 15 Linear Algebra and its Applications 10 Proceedings of the American Mathematical Society 8 Numerical Functional Analysis and Optimization 8 Transactions of the American Mathematical Society 8 Complex Analysis and Operator Theory 6 Advances in Mathematics 6 Advances in Computational Mathematics 5 Journal of Mathematical Physics 5 Acta Applicandae Mathematicae 5 International Journal of Wavelets, Multiresolution and Information Processing 4 Journal of Approximation Theory 4 Fractals 3 Demonstratio Mathematica 3 Results in Mathematics 3 Journal of Inequalities and Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Operators and Matrices 3 Banach Journal of Mathematical Analysis 3 Science China. Mathematics 2 Analysis Mathematica 2 Applicable Analysis 2 Journal d’Analyse Mathématique 2 Linear and Multilinear Algebra 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 Mathematische Annalen 2 The Journal of Geometric Analysis 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Abstract and Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Axioms 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Studia Mathematica 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Note di Matematica 1 Bulletin of the Iranian Mathematical Society 1 Constructive Approximation 1 Facta Universitatis. Series Mathematics and Informatics 1 Journal of Theoretical Probability 1 Journal of Scientific Computing 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales Mathématiques Blaise Pascal 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Conformal Geometry and Dynamics 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Sampling Theory in Signal and Image Processing 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 The College Mathematics Journal 1 Asian-European Journal of Mathematics 1 Bulletin of Mathematical Analysis and Applications 1 Journal of Pseudo-Differential Operators and Applications 1 Annals of Functional Analysis 1 Analysis and Mathematical Physics 1 Palestine Journal of Mathematics 1 Journal of Classical Analysis 1 European Journal of Mathematics 1 Advances in Operator Theory 1 PUMP Journal of Undergraduate Research 1 Annales Fennici Mathematici all top 5 Cited in 38 Fields 204 Harmonic analysis on Euclidean spaces (42-XX) 81 Functional analysis (46-XX) 54 Measure and integration (28-XX) 53 Operator theory (47-XX) 26 Information and communication theory, circuits (94-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 19 Numerical analysis (65-XX) 14 Abstract harmonic analysis (43-XX) 13 Probability theory and stochastic processes (60-XX) 12 Approximations and expansions (41-XX) 11 Functions of a complex variable (30-XX) 7 Combinatorics (05-XX) 6 Partial differential equations (35-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Quantum theory (81-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Computer science (68-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Potential theory (31-XX) 3 Statistics (62-XX) 2 Difference and functional equations (39-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year