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Casazza, Peter George

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Author ID: casazza.peter-g Recent zbMATH articles by "Casazza, Peter George"
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
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

Publications by Year

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 0966.42022
Casazza, Peter G.
169
2000
Frames of subspaces. Zbl 1058.42019
Casazza, Peter G.; Kutyniok, Gitta
165
2004
On signal reconstruction without phase. Zbl 1090.94006
Balan, Radu; Casazza, Pete; Edidin, Dan
149
2006
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
134
2008
Equal-norm tight frames with erasures. Zbl 1035.42029
Casazza, 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 0895.47007
Casazza, Peter G.; Christensen, Ole
87
1997
Frames for Banach spaces. Zbl 0947.46010
Casazza, Peter G.; Han, Deguang; Larson, David R.
87
1999
Approximation properties. Zbl 1067.46025
Casazza, Peter G.
75
2001
Tsirelson’s space. With an appendix by J. Baker, O. Slotterbeck and R. Aron. Zbl 0709.46008
Casazza, Peter G.; Shura, Thaddeus J.
66
1989
Painless reconstruction from magnitudes of frame coefficients. Zbl 1181.42032
Balan, Radu; Bodmann, Bernhard G.; Casazza, Peter G.; Edidin, Dan
66
2009
Density, overcompleteness, and localization of frames. I: Theory. Zbl 1096.42014
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
65
2006
Density, overcompleteness, and localization of frames. II: Gabor systems. Zbl 1097.42022
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
51
2006
Weyl-Heisenberg frames for subspaces of \(L^2(R)\). Zbl 0987.42023
Casazza, Peter G.; Christensen, Ole
51
2001
Frame expansions in separable Banach spaces. Zbl 1091.46007
Casazza, Pete; Christensen, Ole; Stoeva, Diana T.
48
2005
The Kadison-Singer problem in mathematics and engineering. Zbl 1160.46333
Casazza, Peter G.; Tremain, Janet Crandell
40
2006
Constructing tight fusion frames. Zbl 1221.42052
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang
37
2011
A physical interpretation of tight frames. Zbl 1129.42418
Casazza, Peter G.; Fickus, Matthew; Kovačević, Jelena; Leon, Manuel T.; Tremain, Janet C.
35
2006
Weaving frames. Zbl 1358.42025
Bemrose, Travis; Casazza, Peter G.; Gröchenig, Karlheinz; Lammers, Mark C.; Lynch, Richard G.
35
2016
Deficits and excesses of frames. Zbl 1029.42030
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
34
2003
Duality principles in frame theory. Zbl 1058.42020
Casazza, Peter G.; Kutyniok, Gitta; Lammers, Mark C.
34
2004
Banach spaces with a unique unconditional basis, up to permutation. Zbl 0575.46011
Bourgain, J.; Casazza, P. G.; Lindenstrauss, J.; Tzafriri, L.
32
1985
Frames and the Feichtinger conjecture. Zbl 1082.46018
Casazza, Peter G.; Christensen, Ole; Lindner, Alexander M.; Vershynin, Roman
31
2005
The Kadison–Singer problem in mathematics and engineering: a detailed account. Zbl 1110.46038
Casazza, 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 1256.94017
Casazza, Peter G.; Kutyniok, Gitta
28
2008
On symmetric basic sequences in Lorentz sequence spaces. Zbl 0264.46011
Altshuler, Zvi; Casazza, P. G.; Lin, Bor-Luh
28
1973
Minimizing fusion frame potential. Zbl 1175.42010
Casazza, Peter G.; Fickus, Matthew
28
2009
Coefficient quantization for frames in Banach spaces. Zbl 1159.46008
Casazza, P. G.; Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, A.
27
2008
A new identity for Parseval frames. Zbl 1136.42308
Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta
24
2007
Phase retrieval in infinite-dimensional Hilbert spaces. Zbl 1380.46015
Cahill, Jameson; Casazza, Peter G.; Daubechies, Ingrid
24
2016
Sparse fusion frames: existence and construction. Zbl 1264.94042
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali
23
2011
On Tsirelson’s space. Zbl 0543.46012
Casazza, P. G.; Johnson, W. B.; Tzafriri, L.
22
1984
Approximation of the inverse frame operator and applications to Gabor frames. Zbl 0951.46008
Casazza, Peter G.; Christensen, Ole
22
2000
Frames containing a Riesz basis and preservation of this property under perturbations. Zbl 0922.42024
Casazza, Peter G.; Christensen, Ole
21
1998
Existence and construction of finite frames with a given frame operator. Zbl 1225.42021
Casazza, Peter G.; Leon, Manuel T.
21
2010
Custom building finite frames. Zbl 1082.42024
Casazza, Peter G.
20
2004
Frames of translates. Zbl 1029.42029
Casazza, Peter G.; Christensen, Ole; Kalton, Nigel J.
20
2001
The road to equal-norm Parseval frames. Zbl 1194.46018
Bodmann, Bernhard G.; Casazza, Peter G.
20
2010
Weaving Schauder frames. Zbl 1360.46007
Casazza, Peter G.; Freeman, Daniel; Lynch, Richard G.
20
2016
Weyl-Heisenberg frames, translation invariant systems and the Walnut representation. Zbl 0983.42023
Casazza, Peter G.; Christensen, Ole; Janssen, A. J. E. M.
19
2001
Notes on approximation properties in separable Banach spaces. Zbl 0743.41027
Casazza, P. G.; Kalton, N. J.
19
1991
Optimally sparse frames. Zbl 1365.94059
Casazza, Peter G.; Heinecke, Andreas; Krahmer, Felix; Kutyniok, Gitta
19
2011
Uniqueness of unconditional bases in Banach spaces. Zbl 0939.46009
Casazza, Peter G.; Kalton, Nigel J.
17
1998
Introduction to finite frame theory. Zbl 1281.42032
Casazza, Peter G.; Kutyniok, Gitta; Philipp, Friedrich
17
2013
Sums of Hilbert space frames. Zbl 1170.42016
Obeidat, Sofian; Samarah, Salti; Casazza, Peter G.; Tremain, Janet C.
15
2009
Unconditional bases and unconditional finite-dimensional decompositions in Banach spaces. Zbl 0860.46006
Casazza, Peter G.; Kalton, Nigel J.
14
1996
Classes of finite equal norm Parseval frames. Zbl 1210.42047
Casazza, Peter G.; Leonhard, Nicole
14
2008
A brief introduction to Hilbert space frame theory and its applications. Zbl 1356.42020
Casazza, Peter G.; Lynch, Richard G.
14
2016
Phase retrieval by projections. Zbl 1353.15001
Cahill, Jameson; Casazza, Peter G.; Peterson, Jesse; Woodland, Lindsey
14
2016
Auto-tuning unit norm frames. Zbl 1230.42037
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.
13
2012
On symmetric basic sequences in Lorentz sequence spaces. II. Zbl 0286.46019
Casazza, P. G.; Lin, Bor-Luh
13
1974
Roots of complex polynomials and Weyl-Heisenberg frame sets. Zbl 0991.42023
Casazza, Peter G.; Kalton, Nigel J.
12
2002
Non-orthogonal fusion frames and the sparsity of fusion frame operators. Zbl 1300.42005
Cahill, Jameson; Casazza, Peter G.; Li, Shidong
12
2012
A quantitative notion of redundancy for finite frames. Zbl 1211.42027
Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta
12
2011
Tsirelson’s space and minimal subspaces. Zbl 1288.46017
Casazza, P. G.; Odell, E.
12
1983
Self-induced compactness in Banach spaces. Zbl 0851.46011
Casazza, Peter G.; Jarchow, H.
11
1996
Projections on Banach spaces with symmetric bases. Zbl 0266.46016
Casazza, P. G.; Lin, Bor-Luh
11
1974
The Paulsen problem in operator theory. Zbl 1269.42020
Cahill, Jameson; Casazza, Peter
11
2013
A generalization of Gram-Schmidt orthogonalization generating all Parseval frames. Zbl 1118.65027
Casazza, Peter G.; Kutyniok, Gitta
11
2007
Excesses of Gabor frames. Zbl 1028.42021
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
10
2003
Existence and construction of finite tight frames. Zbl 1097.42023
Casazza, Peter G.; Leon, Manuel T.
10
2006
Redundancy for localized frames. Zbl 1254.42037
Balan, Radu; Casazza, Pete; Landau, Zeph
10
2011
Classifying tight Weyl-Heisenberg frames. Zbl 0960.42006
Casazza, Peter G.; Christensen, Ole; Janssen, A. J. E. M.
10
1999
Phase retrieval and norm retrieval. Zbl 1354.46023
Bahmanpour, Saeid; Cahill, Jameson; Casazza, Peter G.; Jasper, John; Woodland, Lindsey M.
10
2015
Riesz-Fischer sequences and lower frame bounds. Zbl 1002.42023
Casazza, P.; Christensen, O.; Li, Shidong; Lindner, A.
9
2002
Generalizing the Paley-Wiener perturbation theory for Banach spaces. Zbl 0916.47013
Casazza, Peter G.; Kalton, Nigel J.
9
1999
Gabor frames over irregular lattices. Zbl 1027.42026
Casazza, Peter G.; Christensen, Ole
9
2003
On some classes of primary Banach spaces. Zbl 0338.46017
Casazza, P. G.; Kottman, C. A.; Lin, Bor-Luh
9
1977
Fusion frames. Zbl 1261.42048
Casazza, Peter G.; Kutyniok, Gitta
9
2013
An example of an asymptotically Hilbertian space which fails the approximation property. Zbl 0983.46022
Casazza, P. G.; García, C. L.; Johnson, W. B.
9
2001
Projections and the Kadison-Singer problem. Zbl 1132.46037
Casazza, Pete; Edidin, Dan; Kalra, Deepti; Paulsen, Vern I.
9
2007
Every Hilbert space frame has a Naimark complement. Zbl 1308.42026
Casazza, 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 1019.46008
Casazza, P. G.; Nielsen, N. J.
8
2003
A general construction of spaces of the type of R. C. James. Zbl 0314.46017
Lohman, Robert H.; Casazza, Peter G.
8
1975
Spectral tetris fusion frame constructions. Zbl 1257.42042
Casazza, Peter G.; Fickus, Matthew; Heinecke, Andreas; Wang, Yang; Zhou, Zhengfang
8
2012
The reconstruction property in Banach spaces and a perturbation theorem. Zbl 1268.42053
Casazza, Peter G.; Christensen, Ole
8
2008
Constructions of biangular tight frames and their relationships with equiangular tight frames. Zbl 1398.42021
Cahill, Jameson; Casazza, Peter G.; Haas, John I.; Tremain, Janet
7
2018
Uniqueness of unconditional bases in \(c_0\)-products. Zbl 0939.46010
Casazza, 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 0867.46013
Casazza, Peter G.; Christensen, Ole
7
1996
James’ quasi-reflexive space is primary. Zbl 0344.46045
Casazza, P. G.
7
1977
On James’ quasi-reflexive Banach space. Zbl 0377.46008
Casazza, P. G.; Lin, Bor-Luh; Lohman, R. H.
7
1978
Necessary and sufficient conditions to perform spectral tetris. Zbl 1259.42019
Casazza, Peter G.; Heinecke, Andreas; Kornelson, Keri; Wang, Yang; Zhou, Zhengfang
7
2013
Perturbation of regular sampling in shift-invariant spaces for frames. Zbl 1310.94056
Zhao, P.; Zhao, C.; Casazza, P. G.
7
2006
Consequences of the Marcus/Spielman/Srivastava solution of the Kadison-Singer problem. Zbl 1343.42040
Casazza, Peter G.; Tremain, Janet C.
7
2016
Fourier transforms of finite chirps. Zbl 1122.94009
Casazza, Peter G.; Fickus, Matthew
7
2006
Improved bounds in Weaver and Feichtinger conjectures. Zbl 1432.46037
Bownik, Marcin; Casazza, Pete; Marcus, Adam W.; Speegle, Darrin
6
2019
Bracket products for Weyl–Heisenberg frames. Zbl 1027.42027
Casazza, Peter G.; Lammers, Mark C.
6
2003
Density, overcompleteness, and localization of frames. Zbl 1142.42313
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
6
2006
Revisiting the Bourgain-Tzafriri restricted invertibility theorem. Zbl 1180.46009
Casazza, Peter G.; Tremain, Janet C.
5
2009
Spanning and independence properties of frame partitions. Zbl 1281.42031
Bodmann, Bernhard G.; Casazza, Peter G.; Paulsen, Vern I.; Speegle, Darrin
5
2012
Phase retrieval by vectors and projections. Zbl 1430.42033
Casazza, Peter G.; Woodland, Lindsey M.
5
2014
Riesz frames and approximation of the frame coefficients. Zbl 0919.42026
Casazza, Peter G.; Christensen, Ole
5
1998
Complex interpolation and complementably minimal spaces. Zbl 0834.46057
Casazza, Peter G.; Kalton, Nigel J.; Kutzarova, Denka; Mastylo, M.
5
1996
Operators and frames. Zbl 1289.42088
Cahill, Jameson; Casazza, Peter G.; Kutyniok, Gitta
5
2013
A redundant version of the Rado-Horn theorem. Zbl 1103.15001
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin
5
2006
A decomposition theorem for frames and the Feichtinger conjecture. Zbl 1155.46010
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin; Tremain, Janet C.
5
2008
The Schroeder-Bernstein property for Banach spaces. Zbl 0684.46020
Casazza, Peter G.
5
1989
Some questions arising from the homogeneous Banach space problem. Zbl 0805.46015
Casazza, Peter G.
5
1993
Toward the classification of biangular harmonic frames. Zbl 1431.42053
Casazza, Peter G.; Farzannia, Amineh; Haas, John I.; Tran, Tin T.
4
2019
Characterizing Hilbert space frames with the subframe property. Zbl 0905.46013
Casazza, Peter G.
4
1997
Preserving injectivity under subgaussian mappings and its application to compressed sensing. Zbl 1448.94053
Casazza, Peter G.; Chen, Xuemei; Lynch, Richard G.
1
2020
Improved bounds in Weaver and Feichtinger conjectures. Zbl 1432.46037
Bownik, Marcin; Casazza, Pete; Marcus, Adam W.; Speegle, Darrin
6
2019
Toward the classification of biangular harmonic frames. Zbl 1431.42053
Casazza, Peter G.; Farzannia, Amineh; Haas, John I.; Tran, Tin T.
4
2019
The exact constant for the \(\ell_1-\ell_2\) norm inequality. Zbl 1418.42045
Botelho-Andrade, Sara; Casazza, Peter G.; Cheng, Desai; Tran, Tin T.
2
2019
The solution to the frame quantum detection problem. Zbl 1423.42052
Botelho-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 1398.42021
Cahill, Jameson; Casazza, Peter G.; Haas, John I.; Tremain, Janet
7
2018
Phase retrieval by hyperplanes. Zbl 1398.42020
Botelho-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 1417.42033
Casazza, Peter G.; Haas, John I. IV
1
2018
The unconditional constants for Hilbert space frame expansions. Zbl 1360.42018
Bemrose, Travis; Casazza, Peter G.; Kaftal, Victor; Lynch, Richard G.
3
2017
Frame scalings: a condition number approach. Zbl 1372.65133
Casazza, Peter G.; Chen, Xuemei
3
2017
Norm retrieval and phase retrieval by projections. Zbl 1422.42042
Casazza, Peter G.; Ghoreishi, Dorsa; Jose, Shani; Tremain, Janet C.
2
2017
Computing the distance between frames and between subspaces of a Hilbert space. Zbl 1390.42039
Bemrose, Travis; Casazza, Peter G.; Cheng, Desai; Haas, John; Van Nguyen, Hanh
1
2017
Weaving frames. Zbl 1358.42025
Bemrose, Travis; Casazza, Peter G.; Gröchenig, Karlheinz; Lammers, Mark C.; Lynch, Richard G.
35
2016
Phase retrieval in infinite-dimensional Hilbert spaces. Zbl 1380.46015
Cahill, Jameson; Casazza, Peter G.; Daubechies, Ingrid
24
2016
Weaving Schauder frames. Zbl 1360.46007
Casazza, Peter G.; Freeman, Daniel; Lynch, Richard G.
20
2016
A brief introduction to Hilbert space frame theory and its applications. Zbl 1356.42020
Casazza, Peter G.; Lynch, Richard G.
14
2016
Phase retrieval by projections. Zbl 1353.15001
Cahill, Jameson; Casazza, Peter G.; Peterson, Jesse; Woodland, Lindsey
14
2016
Consequences of the Marcus/Spielman/Srivastava solution of the Kadison-Singer problem. Zbl 1343.42040
Casazza, Peter G.; Tremain, Janet C.
7
2016
Phase retrieval versus phaseless reconstruction. Zbl 1357.94029
Botelho-Andrade, Sara; Casazza, Peter G.; Van Nguyen, Hanh; Tremain, Janet C.
4
2016
Integer frames. Zbl 1368.42031
Casazza, 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 1342.42030
Casazza, Peter G.; Pinkham, Eric; Tuomanen, Brian
1
2016
Phase retrieval and norm retrieval. Zbl 1354.46023
Bahmanpour, Saeid; Cahill, Jameson; Casazza, Peter G.; Jasper, John; Woodland, Lindsey M.
10
2015
Tight and random nonorthogonal fusion frames. Zbl 1348.42032
Cahill, Jameson; Casazza, Peter G.; Ehler, Martin; Li, Shidong
2
2015
Phase retrieval by vectors and projections. Zbl 1430.42033
Casazza, Peter G.; Woodland, Lindsey M.
5
2014
Weighted fusion frame construction via spectral tetris. Zbl 1298.42034
Casazza, Peter G.; Peterson, Jesse
2
2014
Finite frames. Theory and applications. Zbl 1257.42001
99
2013
Introduction to finite frame theory. Zbl 1281.42032
Casazza, Peter G.; Kutyniok, Gitta; Philipp, Friedrich
17
2013
The Paulsen problem in operator theory. Zbl 1269.42020
Cahill, Jameson; Casazza, Peter
11
2013
Fusion frames. Zbl 1261.42048
Casazza, Peter G.; Kutyniok, Gitta
9
2013
Every Hilbert space frame has a Naimark complement. Zbl 1308.42026
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Peterson, Jesse; Smalyanau, Ihar
8
2013
Necessary and sufficient conditions to perform spectral tetris. Zbl 1259.42019
Casazza, Peter G.; Heinecke, Andreas; Kornelson, Keri; Wang, Yang; Zhou, Zhengfang
7
2013
Operators and frames. Zbl 1289.42088
Cahill, Jameson; Casazza, Peter G.; Kutyniok, Gitta
5
2013
The Kadison-Singer and Paulsen problems in finite frame theory. Zbl 1262.42012
Casazza, Peter G.
4
2013
Fusion frames and unbiased basic sequences. Zbl 1317.42024
Bodmann, Bernhard G.; Casazza, Peter G.; Peterson, Jesse D.; Smalyanau, Ihar; Tremain, Janet C.
3
2013
Auto-tuning unit norm frames. Zbl 1230.42037
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.
13
2012
Non-orthogonal fusion frames and the sparsity of fusion frame operators. Zbl 1300.42005
Cahill, Jameson; Casazza, Peter G.; Li, Shidong
12
2012
Spectral tetris fusion frame constructions. Zbl 1257.42042
Casazza, Peter G.; Fickus, Matthew; Heinecke, Andreas; Wang, Yang; Zhou, Zhengfang
8
2012
Spanning and independence properties of frame partitions. Zbl 1281.42031
Bodmann, Bernhard G.; Casazza, Peter G.; Paulsen, Vern I.; Speegle, Darrin
5
2012
An elementary, illustrative proof of the Rado-Horn theorem. Zbl 1253.15003
Casazza, Peter G.; Peterson, Jesse
2
2012
Fusion frames and the restricted isometry property. Zbl 1254.42038
Bodmann, Bernhard G.; Cahill, Jameson; Casazza, Peter G.
1
2012
Infinite dimensional restricted invertibility. Zbl 1277.42035
Casazza, Peter G.; Pfander, Götz E.
1
2012
A tribute to Nigel J. Kalton (1946–2010). Zbl 1284.01055
Pelczyński, Aleksander; Diestel, Joe; Vershynin, Roman; Godefroy, Gilles
1
2012
Constructing tight fusion frames. Zbl 1221.42052
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang
37
2011
Sparse fusion frames: existence and construction. Zbl 1264.94042
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali
23
2011
Optimally sparse frames. Zbl 1365.94059
Casazza, Peter G.; Heinecke, Andreas; Krahmer, Felix; Kutyniok, Gitta
19
2011
A quantitative notion of redundancy for finite frames. Zbl 1211.42027
Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta
12
2011
Redundancy for localized frames. Zbl 1254.42037
Balan, Radu; Casazza, Pete; Landau, Zeph
10
2011
The Bourgain-Tzafriri conjecture and concrete constructions of non-pavable projections. Zbl 1221.42051
Casazza, Pete; Fickus, Matthew; Mixon, Dustin G.; Tremain, Janet C.
3
2011
Existence and construction of finite frames with a given frame operator. Zbl 1225.42021
Casazza, Peter G.; Leon, Manuel T.
21
2010
The road to equal-norm Parseval frames. Zbl 1194.46018
Bodmann, Bernhard G.; Casazza, Peter G.
20
2010
Painless reconstruction from magnitudes of frame coefficients. Zbl 1181.42032
Balan, Radu; Bodmann, Bernhard G.; Casazza, Peter G.; Edidin, Dan
66
2009
Minimizing fusion frame potential. Zbl 1175.42010
Casazza, Peter G.; Fickus, Matthew
28
2009
Sums of Hilbert space frames. Zbl 1170.42016
Obeidat, Sofian; Samarah, Salti; Casazza, Peter G.; Tremain, Janet C.
15
2009
Revisiting the Bourgain-Tzafriri restricted invertibility theorem. Zbl 1180.46009
Casazza, Peter G.; Tremain, Janet C.
5
2009
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
134
2008
Robustness of fusion frames under erasures of subspaces and of local frame vectors. Zbl 1256.94017
Casazza, Peter G.; Kutyniok, Gitta
28
2008
Coefficient quantization for frames in Banach spaces. Zbl 1159.46008
Casazza, P. G.; Dilworth, S. J.; Odell, E.; Schlumprecht, Th.; Zsák, A.
27
2008
Classes of finite equal norm Parseval frames. Zbl 1210.42047
Casazza, Peter G.; Leonhard, Nicole
14
2008
The reconstruction property in Banach spaces and a perturbation theorem. Zbl 1268.42053
Casazza, Peter G.; Christensen, Ole
8
2008
A decomposition theorem for frames and the Feichtinger conjecture. Zbl 1155.46010
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin; Tremain, Janet C.
5
2008
The Kadison-Singer problem and the uncertainty principle. Zbl 1154.42005
Casazza, Peter G.; Weber, Eric
1
2008
A new identity for Parseval frames. Zbl 1136.42308
Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta
24
2007
A generalization of Gram-Schmidt orthogonalization generating all Parseval frames. Zbl 1118.65027
Casazza, Peter G.; Kutyniok, Gitta
11
2007
Projections and the Kadison-Singer problem. Zbl 1132.46037
Casazza, Pete; Edidin, Dan; Kalra, Deepti; Paulsen, Vern I.
9
2007
Equivalents of the Kadison–Singer problem. Zbl 1146.46036
Casazza, Peter G.; Edidin, Dan
3
2007
On signal reconstruction without phase. Zbl 1090.94006
Balan, Radu; Casazza, Pete; Edidin, Dan
149
2006
Density, overcompleteness, and localization of frames. I: Theory. Zbl 1096.42014
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
65
2006
Density, overcompleteness, and localization of frames. II: Gabor systems. Zbl 1097.42022
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
51
2006
The Kadison-Singer problem in mathematics and engineering. Zbl 1160.46333
Casazza, Peter G.; Tremain, Janet Crandell
40
2006
A physical interpretation of tight frames. Zbl 1129.42418
Casazza, 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 1110.46038
Casazza, Peter G.; Fickus, Matthew; Tremain, Janet C.; Weber, Eric
29
2006
Existence and construction of finite tight frames. Zbl 1097.42023
Casazza, Peter G.; Leon, Manuel T.
10
2006
Perturbation of regular sampling in shift-invariant spaces for frames. Zbl 1310.94056
Zhao, P.; Zhao, C.; Casazza, P. G.
7
2006
Fourier transforms of finite chirps. Zbl 1122.94009
Casazza, Peter G.; Fickus, Matthew
7
2006
Density, overcompleteness, and localization of frames. Zbl 1142.42313
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
6
2006
A redundant version of the Rado-Horn theorem. Zbl 1103.15001
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin
5
2006
Density results for frames of exponentials. Zbl 1129.42417
Casazza, Peter G.; Christensen, Ole; Li, Shidong; Lindner, Alexander
2
2006
Frame expansions in separable Banach spaces. Zbl 1091.46007
Casazza, Pete; Christensen, Ole; Stoeva, Diana T.
48
2005
Frames and the Feichtinger conjecture. Zbl 1082.46018
Casazza, Peter G.; Christensen, Ole; Lindner, Alexander M.; Vershynin, Roman
31
2005
Frames of subspaces. Zbl 1058.42019
Casazza, Peter G.; Kutyniok, Gitta
165
2004
Duality principles in frame theory. Zbl 1058.42020
Casazza, Peter G.; Kutyniok, Gitta; Lammers, Mark C.
34
2004
Custom building finite frames. Zbl 1082.42024
Casazza, Peter G.
20
2004
An introduction to irregular Weyl-Heisenberg frames. Zbl 1073.42023
Casazza, Peter G.
3
2004
Equal-norm tight frames with erasures. Zbl 1035.42029
Casazza, Peter G.; Kovačević, Jelena
115
2003
Deficits and excesses of frames. Zbl 1029.42030
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
34
2003
Excesses of Gabor frames. Zbl 1028.42021
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
10
2003
Gabor frames over irregular lattices. Zbl 1027.42026
Casazza, Peter G.; Christensen, Ole
9
2003
The Maurey extension property for Banach spaces with the Gordon–Lewis property and related structures. Zbl 1019.46008
Casazza, P. G.; Nielsen, N. J.
8
2003
Bracket products for Weyl–Heisenberg frames. Zbl 1027.42027
Casazza, 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 1032.46011
Casazza, Peter G.; Nielsen, Niels J.
4
2003
Roots of complex polynomials and Weyl-Heisenberg frame sets. Zbl 0991.42023
Casazza, Peter G.; Kalton, Nigel J.
12
2002
Riesz-Fischer sequences and lower frame bounds. Zbl 1002.42023
Casazza, P.; Christensen, O.; Li, Shidong; Lindner, A.
9
2002
Perturbations of Weyl-Heisenberg frames. Zbl 1043.42025
Casazza, Peter G.; Christensen, Ole; Lammers, Mark C.
3
2002
Analyzing the Weyl-Heisenberg frame identity. Zbl 0996.42023
Casazza, Peter G.; Lammers, Mark C.
1
2002
Approximation properties. Zbl 1067.46025
Casazza, Peter G.
75
2001
Weyl-Heisenberg frames for subspaces of \(L^2(R)\). Zbl 0987.42023
Casazza, Peter G.; Christensen, Ole
51
2001
Frames of translates. Zbl 1029.42029
Casazza, Peter G.; Christensen, Ole; Kalton, Nigel J.
20
2001
Weyl-Heisenberg frames, translation invariant systems and the Walnut representation. Zbl 0983.42023
Casazza, Peter G.; Christensen, Ole; Janssen, A. J. E. M.
19
2001
An example of an asymptotically Hilbertian space which fails the approximation property. Zbl 0983.46022
Casazza, P. G.; García, C. L.; Johnson, W. B.
9
2001
Embeddings of Banach spaces into Banach lattices and the Gordon-Lewis property. Zbl 1017.46012
Casazza, P. G.; Nielsen, N. J.
1
2001
...and 44 more Documents
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
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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
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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)
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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)
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