Edit Profile (opens in new tab) Casazza, Peter George Compute Distance To: Compute Author ID: casazza.peter-g Published as: Casazza, Peter G.; Casazza, P. G.; Casazza, Pete; Casazza, Peter; Casazza, P. Homepage: https://www.math.missouri.edu/people/casazza External Links: MGP · Wikidata · ResearchGate · dblp Documents Indexed: 161 Publications since 1973, including 2 Books 4 Contributions as Editor · 2 Further Contributions Co-Authors: 104 Co-Authors with 148 Joint Publications 2,385 Co-Co-Authors all top 5 Co-Authors 18 single-authored 18 Christensen, Ole 17 Kutyniok, Gitta 15 Tremain, Janet C. 12 Lin, Bor-Luh 10 Cahill, Jameson 10 Kalton, Nigel John 9 Balan, Radu V. 9 Fickus, Matthew C. 7 Tran, Tin T. 6 Bodmann, Bernhard G. 6 Haas, John I. IV 6 Lammers, Mark C. 6 Landau, Zeph A. 6 Lynch, Richard G. 5 Botelho-Andrade, Sara 5 Cheng, Desai 5 Edidin, Dan 5 Heil, Christopher E. 5 Li, Shidong 5 Peterson, Jesse D. 5 Speegle, Darrin M. 5 Woodland, Lindsey M. 4 Heinecke, Andreas 4 Lohman, Robert H. 4 Mixon, Dustin G. 4 Nielsen, Niels Jørgen 4 Tzafriri, Lior 3 Bemrose, Travis 3 Kottman, Clifford A. 3 Leon, Manuel T. 3 Lindner, Alexander M. 3 Pełczyński, Aleksander 3 Wang, Yang 3 Zhou, Zhengfang 2 Aĭzenberg, Lev Abramovich 2 Bor-Luh-Lin 2 Chen, Xuemei 2 Khavin, Viktor Petrovich 2 Janssen, Augustus Josephus Elizabeth Maria 2 Johnson, William Buhmann 2 Komarchev, I. A. 2 Kornelson, Keri A. 2 Kovačević, Jelena 2 Kutzarova, Denka N. 2 Larson, David Royal 2 Lindenstrauss, Joram 2 Makarov, Boris Mikhaĭlovich 2 Odell, Edward 2 Paulsen, Vern Ival 2 Skiba, N. I. 2 Smalyanau, Ihar 2 Trutnev, V. M. 2 Van Nguyen, Hanh 2 Vershynin, Roman 2 Weber, Eric S. 2 Wojtaszczyk, Przemyslaw 2 Zakharyuta, Vyacheslav Pavlovich 1 Altshuler, Zvi 1 Androulakis, George 1 Aron, Richard Martin 1 Bahmanpour, Saeid 1 Baker, Johnnie W. 1 Beauzamy, Bernard 1 Bourgain, Jean 1 Bownik, Marcin 1 Calderbank, Arthur Robert 1 Daubechies, Ingrid Chantal 1 Diestel, Joseph 1 Dilworth, Stephen J. 1 Ehler, Martin 1 Elton, John H. 1 Farzannia, Amineh 1 Freeman, Daniel H. jun. 1 García, César Luis 1 Ghoreishi, Dorsa 1 Godefroy, Gilles 1 Gröchenig, Karlheinz 1 Han, Deguang 1 Jarchow, Hans 1 Jasper, John 1 Jørgensen, Palle E. T. 1 Jose, Shani 1 Kaftal, Victor G. 1 Kalra, Deepti 1 Krahmer, Felix 1 Krantz, Steven George 1 Leonhard, Nicole 1 Marcus, Adam W. 1 Massopust, Peter R. 1 Mastyło, Mieczysław 1 Obeidat, Sofian 1 Ólafsson, Gestur 1 Packer, Judith A. 1 Pengra, Roy W. 1 Pezeshki, Ali 1 Pfander, Götz E. 1 Philipp, Friedrich 1 Pinkham, Eric 1 Ruden, Randi D. 1 Samarah, Salti ...and 10 more Co-Authors all top 5 Serials 11 Proceedings of the American Mathematical Society 10 The Journal of Fourier Analysis and Applications 9 Applied and Computational Harmonic Analysis 8 Israel Journal of Mathematics 8 Journal of Mathematical Analysis and Applications 6 Advances in Computational Mathematics 5 Illinois Journal of Mathematics 5 Linear Algebra and its Applications 5 Operators and Matrices 4 Studia Mathematica 3 Canadian Journal of Mathematics 3 Canadian Mathematical Bulletin 3 Journal of Functional Analysis 2 Houston Journal of Mathematics 2 IEEE Transactions on Information Theory 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Journal of Approximation Theory 2 Numerical Functional Analysis and Optimization 2 Journal of Operator Theory 1 Rocky Mountain Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Hokkaido Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Approximation Theory and its Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 Electronic Research Announcements of the American Mathematical Society 1 Positivity 1 Taiwanese Journal of Mathematics 1 Mathematical Inequalities & Applications 1 EURASIP Journal on Applied Signal Processing 1 International Journal of Pure and Applied Mathematics 1 Sampling Theory in Signal and Image Processing 1 Journal of Concrete and Applicable Mathematics 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Mathematics 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Axioms 1 Transactions of the American Mathematical Society. Series B 1 Applied and Numerical Harmonic Analysis all top 5 Fields 92 Harmonic analysis on Euclidean spaces (42-XX) 89 Functional analysis (46-XX) 19 Operator theory (47-XX) 17 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Numerical analysis (65-XX) 5 Combinatorics (05-XX) 5 Functions of a complex variable (30-XX) 5 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 144 Publications have been cited 2,750 times in 1,442 Documents Cited by ▼ Year ▼ The art of frame theory. Zbl 0966.42022Casazza, Peter G. 169 2000 Frames of subspaces. Zbl 1058.42019Casazza, Peter G.; Kutyniok, Gitta 165 2004 On signal reconstruction without phase. Zbl 1090.94006Balan, Radu; Casazza, Pete; Edidin, Dan 149 2006 Fusion frames and distributed processing. Zbl 1258.42029Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong 134 2008 Equal-norm tight frames with erasures. Zbl 1035.42029Casazza, Peter G.; Kovačević, Jelena 115 2003 Finite frames. Theory and applications. Zbl 1257.42001 99 2013 Perturbation of operators and applications to frame theory. Zbl 0895.47007Casazza, Peter G.; Christensen, Ole 87 1997 Frames for Banach spaces. Zbl 0947.46010Casazza, Peter G.; Han, Deguang; Larson, David R. 87 1999 Approximation properties. Zbl 1067.46025Casazza, Peter G. 75 2001 Tsirelson’s space. With an appendix by J. Baker, O. Slotterbeck and R. Aron. Zbl 0709.46008Casazza, Peter G.; Shura, Thaddeus J. 66 1989 Painless reconstruction from magnitudes of frame coefficients. Zbl 1181.42032Balan, Radu; Bodmann, Bernhard G.; Casazza, Peter G.; Edidin, Dan 66 2009 Density, overcompleteness, and localization of frames. I: Theory. Zbl 1096.42014Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 65 2006 Density, overcompleteness, and localization of frames. II: Gabor systems. Zbl 1097.42022Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 51 2006 Weyl-Heisenberg frames for subspaces of \(L^2(R)\). Zbl 0987.42023Casazza, Peter G.; Christensen, Ole 51 2001 Frame expansions in separable Banach spaces. Zbl 1091.46007Casazza, Pete; Christensen, Ole; Stoeva, Diana T. 48 2005 The Kadison-Singer problem in mathematics and engineering. Zbl 1160.46333Casazza, Peter G.; Tremain, Janet Crandell 40 2006 Constructing tight fusion frames. Zbl 1221.42052Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang 37 2011 A physical interpretation of tight frames. Zbl 1129.42418Casazza, Peter G.; Fickus, Matthew; Kovačević, Jelena; Leon, Manuel T.; Tremain, Janet C. 35 2006 Weaving frames. Zbl 1358.42025Bemrose, Travis; Casazza, Peter G.; Gröchenig, Karlheinz; Lammers, Mark C.; Lynch, Richard G. 35 2016 Deficits and excesses of frames. Zbl 1029.42030Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 34 2003 Duality principles in frame theory. Zbl 1058.42020Casazza, Peter G.; Kutyniok, Gitta; Lammers, Mark C. 34 2004 Banach spaces with a unique unconditional basis, up to permutation. Zbl 0575.46011Bourgain, J.; Casazza, P. G.; Lindenstrauss, J.; Tzafriri, L. 32 1985 Frames and the Feichtinger conjecture. Zbl 1082.46018Casazza, Peter G.; Christensen, Ole; Lindner, Alexander M.; Vershynin, Roman 31 2005 The Kadison–Singer problem in mathematics and engineering: a detailed account. Zbl 1110.46038Casazza, Peter G.; Fickus, Matthew; Tremain, Janet C.; Weber, Eric 29 2006 Robustness of fusion frames under erasures of subspaces and of local frame vectors. Zbl 1256.94017Casazza, Peter G.; Kutyniok, Gitta 28 2008 On symmetric basic sequences in Lorentz sequence spaces. Zbl 0264.46011Altshuler, Zvi; Casazza, P. G.; Lin, Bor-Luh 28 1973 Minimizing fusion frame potential. Zbl 1175.42010Casazza, Peter G.; Fickus, Matthew 28 2009 Coefficient quantization for frames in Banach spaces. Zbl 1159.46008Casazza, P. G.; Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, A. 27 2008 A new identity for Parseval frames. Zbl 1136.42308Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta 24 2007 Phase retrieval in infinite-dimensional Hilbert spaces. Zbl 1380.46015Cahill, Jameson; Casazza, Peter G.; Daubechies, Ingrid 24 2016 Sparse fusion frames: existence and construction. Zbl 1264.94042Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali 23 2011 On Tsirelson’s space. Zbl 0543.46012Casazza, P. G.; Johnson, W. B.; Tzafriri, L. 22 1984 Approximation of the inverse frame operator and applications to Gabor frames. Zbl 0951.46008Casazza, Peter G.; Christensen, Ole 22 2000 Frames containing a Riesz basis and preservation of this property under perturbations. Zbl 0922.42024Casazza, Peter G.; Christensen, Ole 21 1998 Existence and construction of finite frames with a given frame operator. Zbl 1225.42021Casazza, Peter G.; Leon, Manuel T. 21 2010 Custom building finite frames. Zbl 1082.42024Casazza, Peter G. 20 2004 Frames of translates. Zbl 1029.42029Casazza, Peter G.; Christensen, Ole; Kalton, Nigel J. 20 2001 The road to equal-norm Parseval frames. Zbl 1194.46018Bodmann, Bernhard G.; Casazza, Peter G. 20 2010 Weaving Schauder frames. Zbl 1360.46007Casazza, Peter G.; Freeman, Daniel; Lynch, Richard G. 20 2016 Weyl-Heisenberg frames, translation invariant systems and the Walnut representation. Zbl 0983.42023Casazza, Peter G.; Christensen, Ole; Janssen, A. J. E. M. 19 2001 Notes on approximation properties in separable Banach spaces. Zbl 0743.41027Casazza, P. G.; Kalton, N. J. 19 1991 Optimally sparse frames. Zbl 1365.94059Casazza, Peter G.; Heinecke, Andreas; Krahmer, Felix; Kutyniok, Gitta 19 2011 Uniqueness of unconditional bases in Banach spaces. Zbl 0939.46009Casazza, Peter G.; Kalton, Nigel J. 17 1998 Introduction to finite frame theory. Zbl 1281.42032Casazza, Peter G.; Kutyniok, Gitta; Philipp, Friedrich 17 2013 Sums of Hilbert space frames. Zbl 1170.42016Obeidat, Sofian; Samarah, Salti; Casazza, Peter G.; Tremain, Janet C. 15 2009 Unconditional bases and unconditional finite-dimensional decompositions in Banach spaces. Zbl 0860.46006Casazza, Peter G.; Kalton, Nigel J. 14 1996 Classes of finite equal norm Parseval frames. Zbl 1210.42047Casazza, Peter G.; Leonhard, Nicole 14 2008 A brief introduction to Hilbert space frame theory and its applications. Zbl 1356.42020Casazza, Peter G.; Lynch, Richard G. 14 2016 Phase retrieval by projections. Zbl 1353.15001Cahill, Jameson; Casazza, Peter G.; Peterson, Jesse; Woodland, Lindsey 14 2016 Auto-tuning unit norm frames. Zbl 1230.42037Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G. 13 2012 On symmetric basic sequences in Lorentz sequence spaces. II. Zbl 0286.46019Casazza, P. G.; Lin, Bor-Luh 13 1974 Roots of complex polynomials and Weyl-Heisenberg frame sets. Zbl 0991.42023Casazza, Peter G.; Kalton, Nigel J. 12 2002 Non-orthogonal fusion frames and the sparsity of fusion frame operators. Zbl 1300.42005Cahill, Jameson; Casazza, Peter G.; Li, Shidong 12 2012 A quantitative notion of redundancy for finite frames. Zbl 1211.42027Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta 12 2011 Tsirelson’s space and minimal subspaces. Zbl 1288.46017Casazza, P. G.; Odell, E. 12 1983 Self-induced compactness in Banach spaces. Zbl 0851.46011Casazza, Peter G.; Jarchow, H. 11 1996 Projections on Banach spaces with symmetric bases. Zbl 0266.46016Casazza, P. G.; Lin, Bor-Luh 11 1974 The Paulsen problem in operator theory. Zbl 1269.42020Cahill, Jameson; Casazza, Peter 11 2013 A generalization of Gram-Schmidt orthogonalization generating all Parseval frames. Zbl 1118.65027Casazza, Peter G.; Kutyniok, Gitta 11 2007 Excesses of Gabor frames. Zbl 1028.42021Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 10 2003 Existence and construction of finite tight frames. Zbl 1097.42023Casazza, Peter G.; Leon, Manuel T. 10 2006 Redundancy for localized frames. Zbl 1254.42037Balan, Radu; Casazza, Pete; Landau, Zeph 10 2011 Classifying tight Weyl-Heisenberg frames. Zbl 0960.42006Casazza, Peter G.; Christensen, Ole; Janssen, A. J. E. M. 10 1999 Phase retrieval and norm retrieval. Zbl 1354.46023Bahmanpour, Saeid; Cahill, Jameson; Casazza, Peter G.; Jasper, John; Woodland, Lindsey M. 10 2015 Riesz-Fischer sequences and lower frame bounds. Zbl 1002.42023Casazza, P.; Christensen, O.; Li, Shidong; Lindner, A. 9 2002 Generalizing the Paley-Wiener perturbation theory for Banach spaces. Zbl 0916.47013Casazza, Peter G.; Kalton, Nigel J. 9 1999 Gabor frames over irregular lattices. Zbl 1027.42026Casazza, Peter G.; Christensen, Ole 9 2003 On some classes of primary Banach spaces. Zbl 0338.46017Casazza, P. G.; Kottman, C. A.; Lin, Bor-Luh 9 1977 Fusion frames. Zbl 1261.42048Casazza, Peter G.; Kutyniok, Gitta 9 2013 An example of an asymptotically Hilbertian space which fails the approximation property. Zbl 0983.46022Casazza, P. G.; García, C. L.; Johnson, W. B. 9 2001 Projections and the Kadison-Singer problem. Zbl 1132.46037Casazza, Pete; Edidin, Dan; Kalra, Deepti; Paulsen, Vern I. 9 2007 Every Hilbert space frame has a Naimark complement. Zbl 1308.42026Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Peterson, Jesse; Smalyanau, Ihar 8 2013 The Maurey extension property for Banach spaces with the Gordon–Lewis property and related structures. Zbl 1019.46008Casazza, P. G.; Nielsen, N. J. 8 2003 A general construction of spaces of the type of R. C. James. Zbl 0314.46017Lohman, Robert H.; Casazza, Peter G. 8 1975 Spectral tetris fusion frame constructions. Zbl 1257.42042Casazza, Peter G.; Fickus, Matthew; Heinecke, Andreas; Wang, Yang; Zhou, Zhengfang 8 2012 The reconstruction property in Banach spaces and a perturbation theorem. Zbl 1268.42053Casazza, Peter G.; Christensen, Ole 8 2008 Constructions of biangular tight frames and their relationships with equiangular tight frames. Zbl 1398.42021Cahill, Jameson; Casazza, Peter G.; Haas, John I.; Tremain, Janet 7 2018 Uniqueness of unconditional bases in \(c_0\)-products. Zbl 0939.46010Casazza, Peter G.; Kalton, Nigel J. 7 1999 Hilbert space frames containing a Riesz basis and Banach spaces which have no subspace isomorphic to \(c_ 0\). Zbl 0867.46013Casazza, Peter G.; Christensen, Ole 7 1996 James’ quasi-reflexive space is primary. Zbl 0344.46045Casazza, P. G. 7 1977 On James’ quasi-reflexive Banach space. Zbl 0377.46008Casazza, P. G.; Lin, Bor-Luh; Lohman, R. H. 7 1978 Necessary and sufficient conditions to perform spectral tetris. Zbl 1259.42019Casazza, Peter G.; Heinecke, Andreas; Kornelson, Keri; Wang, Yang; Zhou, Zhengfang 7 2013 Perturbation of regular sampling in shift-invariant spaces for frames. Zbl 1310.94056Zhao, P.; Zhao, C.; Casazza, P. G. 7 2006 Consequences of the Marcus/Spielman/Srivastava solution of the Kadison-Singer problem. Zbl 1343.42040Casazza, Peter G.; Tremain, Janet C. 7 2016 Fourier transforms of finite chirps. Zbl 1122.94009Casazza, Peter G.; Fickus, Matthew 7 2006 Improved bounds in Weaver and Feichtinger conjectures. Zbl 1432.46037Bownik, Marcin; Casazza, Pete; Marcus, Adam W.; Speegle, Darrin 6 2019 Bracket products for Weyl–Heisenberg frames. Zbl 1027.42027Casazza, Peter G.; Lammers, Mark C. 6 2003 Density, overcompleteness, and localization of frames. Zbl 1142.42313Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 6 2006 Revisiting the Bourgain-Tzafriri restricted invertibility theorem. Zbl 1180.46009Casazza, Peter G.; Tremain, Janet C. 5 2009 Spanning and independence properties of frame partitions. Zbl 1281.42031Bodmann, Bernhard G.; Casazza, Peter G.; Paulsen, Vern I.; Speegle, Darrin 5 2012 Phase retrieval by vectors and projections. Zbl 1430.42033Casazza, Peter G.; Woodland, Lindsey M. 5 2014 Riesz frames and approximation of the frame coefficients. Zbl 0919.42026Casazza, Peter G.; Christensen, Ole 5 1998 Complex interpolation and complementably minimal spaces. Zbl 0834.46057Casazza, Peter G.; Kalton, Nigel J.; Kutzarova, Denka; Mastylo, M. 5 1996 Operators and frames. Zbl 1289.42088Cahill, Jameson; Casazza, Peter G.; Kutyniok, Gitta 5 2013 A redundant version of the Rado-Horn theorem. Zbl 1103.15001Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin 5 2006 A decomposition theorem for frames and the Feichtinger conjecture. Zbl 1155.46010Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin; Tremain, Janet C. 5 2008 The Schroeder-Bernstein property for Banach spaces. Zbl 0684.46020Casazza, Peter G. 5 1989 Some questions arising from the homogeneous Banach space problem. Zbl 0805.46015Casazza, Peter G. 5 1993 Toward the classification of biangular harmonic frames. Zbl 1431.42053Casazza, Peter G.; Farzannia, Amineh; Haas, John I.; Tran, Tin T. 4 2019 Characterizing Hilbert space frames with the subframe property. Zbl 0905.46013Casazza, Peter G. 4 1997 Preserving injectivity under subgaussian mappings and its application to compressed sensing. Zbl 1448.94053Casazza, Peter G.; Chen, Xuemei; Lynch, Richard G. 1 2020 Improved bounds in Weaver and Feichtinger conjectures. Zbl 1432.46037Bownik, Marcin; Casazza, Pete; Marcus, Adam W.; Speegle, Darrin 6 2019 Toward the classification of biangular harmonic frames. Zbl 1431.42053Casazza, Peter G.; Farzannia, Amineh; Haas, John I.; Tran, Tin T. 4 2019 The exact constant for the \(\ell_1-\ell_2\) norm inequality. Zbl 1418.42045Botelho-Andrade, Sara; Casazza, Peter G.; Cheng, Desai; Tran, Tin T. 2 2019 The solution to the frame quantum detection problem. Zbl 1423.42052Botelho-Andrade, Sara; Casazza, Peter G.; Cheng, Desai; Tran, Tin T. 1 2019 Constructions of biangular tight frames and their relationships with equiangular tight frames. Zbl 1398.42021Cahill, Jameson; Casazza, Peter G.; Haas, John I.; Tremain, Janet 7 2018 Phase retrieval by hyperplanes. Zbl 1398.42020Botelho-Andrade, Sara; Casazza, Peter G.; Cheng, Desai; Haas, John; Tran, Tin T.; Tremain, Janet C.; Xu, Zhiqiang 1 2018 On Grassmannian frames with spectral constraints. Zbl 1417.42033Casazza, Peter G.; Haas, John I. IV 1 2018 The unconditional constants for Hilbert space frame expansions. Zbl 1360.42018Bemrose, Travis; Casazza, Peter G.; Kaftal, Victor; Lynch, Richard G. 3 2017 Frame scalings: a condition number approach. Zbl 1372.65133Casazza, Peter G.; Chen, Xuemei 3 2017 Norm retrieval and phase retrieval by projections. Zbl 1422.42042Casazza, Peter G.; Ghoreishi, Dorsa; Jose, Shani; Tremain, Janet C. 2 2017 Computing the distance between frames and between subspaces of a Hilbert space. Zbl 1390.42039Bemrose, Travis; Casazza, Peter G.; Cheng, Desai; Haas, John; Van Nguyen, Hanh 1 2017 Weaving frames. Zbl 1358.42025Bemrose, Travis; Casazza, Peter G.; Gröchenig, Karlheinz; Lammers, Mark C.; Lynch, Richard G. 35 2016 Phase retrieval in infinite-dimensional Hilbert spaces. Zbl 1380.46015Cahill, Jameson; Casazza, Peter G.; Daubechies, Ingrid 24 2016 Weaving Schauder frames. Zbl 1360.46007Casazza, Peter G.; Freeman, Daniel; Lynch, Richard G. 20 2016 A brief introduction to Hilbert space frame theory and its applications. Zbl 1356.42020Casazza, Peter G.; Lynch, Richard G. 14 2016 Phase retrieval by projections. Zbl 1353.15001Cahill, Jameson; Casazza, Peter G.; Peterson, Jesse; Woodland, Lindsey 14 2016 Consequences of the Marcus/Spielman/Srivastava solution of the Kadison-Singer problem. Zbl 1343.42040Casazza, Peter G.; Tremain, Janet C. 7 2016 Phase retrieval versus phaseless reconstruction. Zbl 1357.94029Botelho-Andrade, Sara; Casazza, Peter G.; Van Nguyen, Hanh; Tremain, Janet C. 4 2016 Integer frames. Zbl 1368.42031Casazza, Peter G.; Lynch, Richard G.; Tremain, Janet C.; Woodland, Lindsey M. 2 2016 Riesz outer product Hilbert space frames: quantitative bounds, topological properties, and full geometric characterization. Zbl 1342.42030Casazza, Peter G.; Pinkham, Eric; Tuomanen, Brian 1 2016 Phase retrieval and norm retrieval. Zbl 1354.46023Bahmanpour, Saeid; Cahill, Jameson; Casazza, Peter G.; Jasper, John; Woodland, Lindsey M. 10 2015 Tight and random nonorthogonal fusion frames. Zbl 1348.42032Cahill, Jameson; Casazza, Peter G.; Ehler, Martin; Li, Shidong 2 2015 Phase retrieval by vectors and projections. Zbl 1430.42033Casazza, Peter G.; Woodland, Lindsey M. 5 2014 Weighted fusion frame construction via spectral tetris. Zbl 1298.42034Casazza, Peter G.; Peterson, Jesse 2 2014 Finite frames. Theory and applications. Zbl 1257.42001 99 2013 Introduction to finite frame theory. Zbl 1281.42032Casazza, Peter G.; Kutyniok, Gitta; Philipp, Friedrich 17 2013 The Paulsen problem in operator theory. Zbl 1269.42020Cahill, Jameson; Casazza, Peter 11 2013 Fusion frames. Zbl 1261.42048Casazza, Peter G.; Kutyniok, Gitta 9 2013 Every Hilbert space frame has a Naimark complement. Zbl 1308.42026Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Peterson, Jesse; Smalyanau, Ihar 8 2013 Necessary and sufficient conditions to perform spectral tetris. Zbl 1259.42019Casazza, Peter G.; Heinecke, Andreas; Kornelson, Keri; Wang, Yang; Zhou, Zhengfang 7 2013 Operators and frames. Zbl 1289.42088Cahill, Jameson; Casazza, Peter G.; Kutyniok, Gitta 5 2013 The Kadison-Singer and Paulsen problems in finite frame theory. Zbl 1262.42012Casazza, Peter G. 4 2013 Fusion frames and unbiased basic sequences. Zbl 1317.42024Bodmann, Bernhard G.; Casazza, Peter G.; Peterson, Jesse D.; Smalyanau, Ihar; Tremain, Janet C. 3 2013 Auto-tuning unit norm frames. Zbl 1230.42037Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G. 13 2012 Non-orthogonal fusion frames and the sparsity of fusion frame operators. Zbl 1300.42005Cahill, Jameson; Casazza, Peter G.; Li, Shidong 12 2012 Spectral tetris fusion frame constructions. Zbl 1257.42042Casazza, Peter G.; Fickus, Matthew; Heinecke, Andreas; Wang, Yang; Zhou, Zhengfang 8 2012 Spanning and independence properties of frame partitions. Zbl 1281.42031Bodmann, Bernhard G.; Casazza, Peter G.; Paulsen, Vern I.; Speegle, Darrin 5 2012 An elementary, illustrative proof of the Rado-Horn theorem. Zbl 1253.15003Casazza, Peter G.; Peterson, Jesse 2 2012 Fusion frames and the restricted isometry property. Zbl 1254.42038Bodmann, Bernhard G.; Cahill, Jameson; Casazza, Peter G. 1 2012 Infinite dimensional restricted invertibility. Zbl 1277.42035Casazza, Peter G.; Pfander, Götz E. 1 2012 A tribute to Nigel J. Kalton (1946–2010). Zbl 1284.01055Pelczyński, Aleksander; Diestel, Joe; Vershynin, Roman; Godefroy, Gilles 1 2012 Constructing tight fusion frames. Zbl 1221.42052Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang 37 2011 Sparse fusion frames: existence and construction. Zbl 1264.94042Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali 23 2011 Optimally sparse frames. Zbl 1365.94059Casazza, Peter G.; Heinecke, Andreas; Krahmer, Felix; Kutyniok, Gitta 19 2011 A quantitative notion of redundancy for finite frames. Zbl 1211.42027Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta 12 2011 Redundancy for localized frames. Zbl 1254.42037Balan, Radu; Casazza, Pete; Landau, Zeph 10 2011 The Bourgain-Tzafriri conjecture and concrete constructions of non-pavable projections. Zbl 1221.42051Casazza, Pete; Fickus, Matthew; Mixon, Dustin G.; Tremain, Janet C. 3 2011 Existence and construction of finite frames with a given frame operator. Zbl 1225.42021Casazza, Peter G.; Leon, Manuel T. 21 2010 The road to equal-norm Parseval frames. Zbl 1194.46018Bodmann, Bernhard G.; Casazza, Peter G. 20 2010 Painless reconstruction from magnitudes of frame coefficients. Zbl 1181.42032Balan, Radu; Bodmann, Bernhard G.; Casazza, Peter G.; Edidin, Dan 66 2009 Minimizing fusion frame potential. Zbl 1175.42010Casazza, Peter G.; Fickus, Matthew 28 2009 Sums of Hilbert space frames. Zbl 1170.42016Obeidat, Sofian; Samarah, Salti; Casazza, Peter G.; Tremain, Janet C. 15 2009 Revisiting the Bourgain-Tzafriri restricted invertibility theorem. Zbl 1180.46009Casazza, Peter G.; Tremain, Janet C. 5 2009 Fusion frames and distributed processing. Zbl 1258.42029Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong 134 2008 Robustness of fusion frames under erasures of subspaces and of local frame vectors. Zbl 1256.94017Casazza, Peter G.; Kutyniok, Gitta 28 2008 Coefficient quantization for frames in Banach spaces. Zbl 1159.46008Casazza, P. G.; Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, A. 27 2008 Classes of finite equal norm Parseval frames. Zbl 1210.42047Casazza, Peter G.; Leonhard, Nicole 14 2008 The reconstruction property in Banach spaces and a perturbation theorem. Zbl 1268.42053Casazza, Peter G.; Christensen, Ole 8 2008 A decomposition theorem for frames and the Feichtinger conjecture. Zbl 1155.46010Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin; Tremain, Janet C. 5 2008 The Kadison-Singer problem and the uncertainty principle. Zbl 1154.42005Casazza, Peter G.; Weber, Eric 1 2008 A new identity for Parseval frames. Zbl 1136.42308Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta 24 2007 A generalization of Gram-Schmidt orthogonalization generating all Parseval frames. Zbl 1118.65027Casazza, Peter G.; Kutyniok, Gitta 11 2007 Projections and the Kadison-Singer problem. Zbl 1132.46037Casazza, Pete; Edidin, Dan; Kalra, Deepti; Paulsen, Vern I. 9 2007 Equivalents of the Kadison–Singer problem. Zbl 1146.46036Casazza, Peter G.; Edidin, Dan 3 2007 On signal reconstruction without phase. Zbl 1090.94006Balan, Radu; Casazza, Pete; Edidin, Dan 149 2006 Density, overcompleteness, and localization of frames. I: Theory. Zbl 1096.42014Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 65 2006 Density, overcompleteness, and localization of frames. II: Gabor systems. Zbl 1097.42022Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 51 2006 The Kadison-Singer problem in mathematics and engineering. Zbl 1160.46333Casazza, Peter G.; Tremain, Janet Crandell 40 2006 A physical interpretation of tight frames. Zbl 1129.42418Casazza, Peter G.; Fickus, Matthew; Kovačević, Jelena; Leon, Manuel T.; Tremain, Janet C. 35 2006 The Kadison–Singer problem in mathematics and engineering: a detailed account. Zbl 1110.46038Casazza, Peter G.; Fickus, Matthew; Tremain, Janet C.; Weber, Eric 29 2006 Existence and construction of finite tight frames. Zbl 1097.42023Casazza, Peter G.; Leon, Manuel T. 10 2006 Perturbation of regular sampling in shift-invariant spaces for frames. Zbl 1310.94056Zhao, P.; Zhao, C.; Casazza, P. G. 7 2006 Fourier transforms of finite chirps. Zbl 1122.94009Casazza, Peter G.; Fickus, Matthew 7 2006 Density, overcompleteness, and localization of frames. Zbl 1142.42313Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 6 2006 A redundant version of the Rado-Horn theorem. Zbl 1103.15001Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin 5 2006 Density results for frames of exponentials. Zbl 1129.42417Casazza, Peter G.; Christensen, Ole; Li, Shidong; Lindner, Alexander 2 2006 Frame expansions in separable Banach spaces. Zbl 1091.46007Casazza, Pete; Christensen, Ole; Stoeva, Diana T. 48 2005 Frames and the Feichtinger conjecture. Zbl 1082.46018Casazza, Peter G.; Christensen, Ole; Lindner, Alexander M.; Vershynin, Roman 31 2005 Frames of subspaces. Zbl 1058.42019Casazza, Peter G.; Kutyniok, Gitta 165 2004 Duality principles in frame theory. Zbl 1058.42020Casazza, Peter G.; Kutyniok, Gitta; Lammers, Mark C. 34 2004 Custom building finite frames. Zbl 1082.42024Casazza, Peter G. 20 2004 An introduction to irregular Weyl-Heisenberg frames. Zbl 1073.42023Casazza, Peter G. 3 2004 Equal-norm tight frames with erasures. Zbl 1035.42029Casazza, Peter G.; Kovačević, Jelena 115 2003 Deficits and excesses of frames. Zbl 1029.42030Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 34 2003 Excesses of Gabor frames. Zbl 1028.42021Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph 10 2003 Gabor frames over irregular lattices. Zbl 1027.42026Casazza, Peter G.; Christensen, Ole 9 2003 The Maurey extension property for Banach spaces with the Gordon–Lewis property and related structures. Zbl 1019.46008Casazza, P. G.; Nielsen, N. J. 8 2003 Bracket products for Weyl–Heisenberg frames. Zbl 1027.42027Casazza, Peter G.; Lammers, Mark C. 6 2003 A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2. Zbl 1032.46011Casazza, Peter G.; Nielsen, Niels J. 4 2003 Roots of complex polynomials and Weyl-Heisenberg frame sets. Zbl 0991.42023Casazza, Peter G.; Kalton, Nigel J. 12 2002 Riesz-Fischer sequences and lower frame bounds. Zbl 1002.42023Casazza, P.; Christensen, O.; Li, Shidong; Lindner, A. 9 2002 Perturbations of Weyl-Heisenberg frames. Zbl 1043.42025Casazza, Peter G.; Christensen, Ole; Lammers, Mark C. 3 2002 Analyzing the Weyl-Heisenberg frame identity. Zbl 0996.42023Casazza, Peter G.; Lammers, Mark C. 1 2002 Approximation properties. Zbl 1067.46025Casazza, Peter G. 75 2001 Weyl-Heisenberg frames for subspaces of \(L^2(R)\). Zbl 0987.42023Casazza, Peter G.; Christensen, Ole 51 2001 Frames of translates. Zbl 1029.42029Casazza, Peter G.; Christensen, Ole; Kalton, Nigel J. 20 2001 Weyl-Heisenberg frames, translation invariant systems and the Walnut representation. Zbl 0983.42023Casazza, Peter G.; Christensen, Ole; Janssen, A. J. E. M. 19 2001 An example of an asymptotically Hilbertian space which fails the approximation property. Zbl 0983.46022Casazza, P. G.; García, C. L.; Johnson, W. B. 9 2001 Embeddings of Banach spaces into Banach lattices and the Gordon-Lewis property. Zbl 1017.46012Casazza, P. G.; Nielsen, N. J. 1 2001 ...and 44 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,349 Authors 62 Casazza, Peter George 39 Han, Deguang 25 Sun, Wenchang 24 Arefijamaal, Ali Akbar 23 Christensen, Ole 22 Kutyniok, Gitta 22 Oja, Eve 21 Mixon, Dustin G. 19 Bodmann, Bernhard G. 18 Fickus, Matthew C. 18 Gröchenig, Karlheinz 18 Vashisht, Lalit Kumar 18 Zhu, Yucan 17 Sun, Qiyu 16 Leng, Jinsong 16 Stoeva, Diana T. 16 Stojanoff, Demetrio 15 Albiac, Fernando 15 Balazs, Peter 15 Li, Yunzhang 15 Massey, Pedro G. 15 Rahimi, Asghar 14 Kaushik, Shiv Kumar 13 Balan, Radu V. 13 Kim, Ju Myung 13 Odell, Edward 13 Powell, Alexander M. 13 Romero, José Luis 13 Ruiz, Mariano A. 13 Xiang, Zhongqi 13 Xiao, Xiangchun 12 Aldroubi, Akram 12 Asgari, Mohammad Sadegh 12 Castillo, Jesús M. F. 12 Kalton, Nigel John 12 Schlumprecht, Thomas 11 Guo, Xunxiang 11 Liu, Rui 10 Bownik, Marcin 10 Deepshikha 10 Heil, Christopher E. 10 Johnson, William Buhmann 10 Krahmer, Felix 10 Larson, David Royal 10 Li, Dongwei 10 Li, Pengtong 10 Lim, Jae Kun 10 Okoudjou, Kasso A. 10 Tremain, Janet C. 9 Cahill, Jameson 9 Ferenczi, Valentin 9 Gabardo, Jean-Pierre 9 Grohs, Philipp 9 Jørgensen, Palle E. T. 9 Koo, Yooyoung 9 Leranoz, Camino 9 Lima, Asvald 8 Ansorena, José Luis 8 Ehler, Martin 8 Feichtinger, Hans Georg 8 Freeman, Daniel H. jun. 8 Galego, Elói Medina 8 González Ortiz, Manuel 8 Mohapatra, Ram Narayan 8 Neyshaburi, Fahimeh Arabyani 8 Paulsen, Vern Ival 8 Shamsabadi, Mitra 8 Speegle, Darrin M. 8 Weber, Eric S. 7 Ahmadi, Reza H. 7 Alaifari, Rima 7 Argyros, Spiros A. 7 Cabrelli, Carlos A. 7 Dilworth, Stephen J. 7 Huang, Ting-Zhu 7 Jasper, John 7 Khosravi, Amir 7 Krishtal, Ilya Arkadievich 7 Liu, Bei 7 Osgooei, Elnaz 7 Waldron, Shayne F. D. 7 Wang, Yang 6 Beanland, Kevin 6 Carando, Daniel G. 6 Chen, Xuemei 6 Edidin, Dan 6 Haas, John I. IV 6 Heineken, Sigrid B. 6 Kamyabi-Gol, Rajab Ali 6 Lassalle, Silvia 6 Lemvig, Jakob 6 Li, Shidong 6 Li, Song 6 Lv, Fusheng 6 Molter, Ursula Maria 6 Motakis, Pavlos 6 Poumai, Khole Timothy 6 Rauhut, Holger 6 Sadri, Vahid 6 Strohmer, Thomas ...and 1,249 more Authors all top 5 Cited in 256 Serials 105 Journal of Mathematical Analysis and Applications 102 Applied and Computational Harmonic Analysis 78 The Journal of Fourier Analysis and Applications 73 Journal of Functional Analysis 72 Linear Algebra and its Applications 59 Proceedings of the American Mathematical Society 53 Israel Journal of Mathematics 46 International Journal of Wavelets, Multiresolution and Information Processing 35 Advances in Computational Mathematics 30 Results in Mathematics 30 Transactions of the American Mathematical Society 23 Journal of Approximation Theory 19 Linear and Multilinear Algebra 19 Numerical Functional Analysis and Optimization 19 Banach Journal of Mathematical Analysis 16 Acta Mathematica Sinica. English Series 16 Sahand Communications in Mathematical Analysis 14 Acta Applicandae Mathematicae 14 Complex Analysis and Operator Theory 13 Rocky Mountain Journal of Mathematics 12 Constructive Approximation 12 Journal of Pseudo-Differential Operators and Applications 11 Journal of Inequalities and Applications 11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 10 The Journal of Geometric Analysis 10 Mediterranean Journal of Mathematics 9 Journal of Mathematical Physics 9 Science China. Mathematics 8 Archiv der Mathematik 7 Inverse Problems 7 Studia Mathematica 7 Advances in Mathematics 7 Illinois Journal of Mathematics 7 Integral Equations and Operator Theory 7 Mathematische Annalen 6 Mathematische Nachrichten 6 Advances in Applied Mathematics 6 Bulletin of the Iranian Mathematical Society 6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Abstract and Applied Analysis 6 Positivity 6 Asian-European Journal of Mathematics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal of Function Spaces 5 Monatshefte für Mathematik 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Journal of Mathematical Sciences (New York) 5 Foundations of Computational Mathematics 5 Analysis and Applications (Singapore) 5 Annals of Functional Analysis 4 Indian Journal of Pure & Applied Mathematics 4 Journal of Geometry and Physics 4 Czechoslovak Mathematical Journal 4 Journal of Computational and Applied Mathematics 4 Applied Mathematics Letters 3 Bulletin of the Australian Mathematical Society 3 Mathematical Notes 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Mathematica Vietnamica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Functional Analysis and its Applications 3 Fundamenta Mathematicae 3 Glasgow Mathematical Journal 3 Mathematics and Computers in Simulation 3 Memoirs of the American Mathematical Society 3 Discrete & Computational Geometry 3 Journal of Scientific Computing 3 Geometric and Functional Analysis. GAFA 3 SIAM Review 3 Indagationes Mathematicae. New Series 3 St. Petersburg Mathematical Journal 3 Integral Transforms and Special Functions 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 3 Quantum Information Processing 3 Sampling Theory in Signal and Image Processing 3 Journal of Function Spaces and Applications 3 Journal of Mathematical Inequalities 3 Information and Inference 3 Arabian Journal of Mathematics 3 Palestine Journal of Mathematics 3 Problemy Analiza. Issues of Analysis 3 Advances in Operator Theory 3 SIAM Journal on Applied Algebra and Geometry 3 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 3 SIAM Journal on Mathematics of Data Science 2 Applicable Analysis 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Journal d’Analyse Mathématique 2 Journal of the Franklin Institute 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 Annales de l’Institut Fourier 2 Applied Mathematics and Computation 2 Bulletin of the London Mathematical Society 2 Journal of Soviet Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Japan Academy. Series A ...and 156 more Serials all top 5 Cited in 55 Fields 909 Harmonic analysis on Euclidean spaces (42-XX) 625 Functional analysis (46-XX) 259 Operator theory (47-XX) 229 Information and communication theory, circuits (94-XX) 114 Numerical analysis (65-XX) 112 Approximations and expansions (41-XX) 73 Linear and multilinear algebra; matrix theory (15-XX) 39 Operations research, mathematical programming (90-XX) 38 Computer science (68-XX) 37 Abstract harmonic analysis (43-XX) 35 Combinatorics (05-XX) 34 Quantum theory (81-XX) 25 Functions of a complex variable (30-XX) 22 Probability theory and stochastic processes (60-XX) 22 Statistics (62-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 16 Measure and integration (28-XX) 16 Convex and discrete geometry (52-XX) 15 Group theory and generalizations (20-XX) 14 Topological groups, Lie groups (22-XX) 12 Algebraic geometry (14-XX) 11 Mathematical logic and foundations (03-XX) 11 Real functions (26-XX) 10 Number theory (11-XX) 10 Partial differential equations (35-XX) 10 General topology (54-XX) 9 Optics, electromagnetic theory (78-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Geometry (51-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Differential geometry (53-XX) 5 Integral transforms, operational calculus (44-XX) 5 Systems theory; control (93-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 4 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Sequences, series, summability (40-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Manifolds and cell complexes (57-XX) 2 Associative rings and algebras (16-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of deformable solids (74-XX) 2 Mathematics education (97-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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