Cahill, Jameson; Casazza, Peter G. Optimal Parseval frames: total coherence and total volume. (English) Zbl 1527.42043 Linear Multilinear Algebra 71, No. 13, 2067-2092 (2023). Reviewer: Zhong-Qi Xiang (Shangrao) MSC: 42C15 42C40 PDFBibTeX XMLCite \textit{J. Cahill} and \textit{P. G. Casazza}, Linear Multilinear Algebra 71, No. 13, 2067--2092 (2023; Zbl 1527.42043) Full Text: DOI arXiv
Casazza, Peter G.; Tran, Tin T.; Tremain, Janet C. Regular two-distance sets. (English) Zbl 1445.42021 J. Fourier Anal. Appl. 26, No. 3, Paper No. 49, 32 p. (2020). MSC: 42C15 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., J. Fourier Anal. Appl. 26, No. 3, Paper No. 49, 32 p. (2020; Zbl 1445.42021) Full Text: DOI arXiv
Bownik, Marcin; Casazza, Pete; Marcus, Adam W.; Speegle, Darrin Improved bounds in Weaver and Feichtinger conjectures. (English) Zbl 1432.46037 J. Reine Angew. Math. 749, 267-293 (2019). Reviewer: Simon Lücking (Basel) MSC: 46L05 46C05 PDFBibTeX XMLCite \textit{M. Bownik} et al., J. Reine Angew. Math. 749, 267--293 (2019; Zbl 1432.46037) Full Text: DOI arXiv
Casazza, Peter G.; Chen, Xuemei Frame scalings: a condition number approach. (English) Zbl 1372.65133 Linear Algebra Appl. 523, 152-168 (2017). MSC: 65F35 42C15 65K05 90C25 PDFBibTeX XMLCite \textit{P. G. Casazza} and \textit{X. Chen}, Linear Algebra Appl. 523, 152--168 (2017; Zbl 1372.65133) Full Text: DOI arXiv
Casazza, Peter G.; Tremain, Janet C. Consequences of the Marcus/Spielman/Srivastava solution of the Kadison-Singer problem. (English) Zbl 1343.42040 Aldroubi, Akram (ed.) et al., New trends in applied harmonic analysis. Sparse representations, compressed sensing, and multifractal analysis. Cham: Birkhäuser/Springer (ISBN 978-3-319-27871-1/hbk; 978-3-319-27873-5/ebook). Applied and Numerical Harmonic Analysis, 191-213 (2016). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 42C15 PDFBibTeX XMLCite \textit{P. G. Casazza} and \textit{J. C. Tremain}, in: New trends in applied harmonic analysis. Sparse representations, compressed sensing, and multifractal analysis. Selected lecture notes from the CIMPA school held in Mar de Plata, August 5--16, 2013. Cham: Birkhäuser/Springer. 191--213 (2016; Zbl 1343.42040) Full Text: DOI arXiv
Botelho-Andrade, Sara; Casazza, Peter G.; Van Nguyen, Hanh; Tremain, Janet C. Phase retrieval versus phaseless reconstruction. (English) Zbl 1357.94029 J. Math. Anal. Appl. 436, No. 1, 131-137 (2016). MSC: 94A11 94A12 42C40 PDFBibTeX XMLCite \textit{S. Botelho-Andrade} et al., J. Math. Anal. Appl. 436, No. 1, 131--137 (2016; Zbl 1357.94029) Full Text: DOI arXiv
Casazza, Peter G.; Woodland, Lindsey M. The fundamentals of spectral tetris frame constructions. (English) Zbl 1339.42023 Pfander, Götz E. (ed.), Sampling theory, a renaissance. Compressive sensing and other developments. Cham: Birkhäuser/Springer (ISBN 978-3-319-19748-7/hbk; 978-3-319-19749-4/ebook). Applied and Numerical Harmonic Analysis, 217-266 (2015). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C15 PDFBibTeX XMLCite \textit{P. G. Casazza} and \textit{L. M. Woodland}, in: Sampling theory, a renaissance. Compressive sensing and other developments. Cham: Birkhäuser/Springer. 217--266 (2015; Zbl 1339.42023) Full Text: DOI arXiv
Casazza, Peter G.; Peterson, Jesse Weighted fusion frame construction via spectral tetris. (English) Zbl 1298.42034 Adv. Comput. Math. 40, No. 2, 335-351 (2014). MSC: 42C15 15B99 PDFBibTeX XMLCite \textit{P. G. Casazza} and \textit{J. Peterson}, Adv. Comput. Math. 40, No. 2, 335--351 (2014; Zbl 1298.42034) Full Text: DOI arXiv
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Peterson, Jesse; Smalyanau, Ihar Every Hilbert space frame has a Naimark complement. (English) Zbl 1308.42026 J. Math. Anal. Appl. 406, No. 1, 111-119 (2013). MSC: 42C15 46C05 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., J. Math. Anal. Appl. 406, No. 1, 111--119 (2013; Zbl 1308.42026) Full Text: DOI arXiv
Casazza, Peter G.; Heinecke, Andreas; Kornelson, Keri; Wang, Yang; Zhou, Zhengfang Necessary and sufficient conditions to perform spectral tetris. (English) Zbl 1259.42019 Linear Algebra Appl. 438, No. 5, 2239-2255 (2013). MSC: 42C15 15B99 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., Linear Algebra Appl. 438, No. 5, 2239--2255 (2013; Zbl 1259.42019) Full Text: DOI arXiv
Casazza, Peter G.; Pfander, Götz E. Infinite dimensional restricted invertibility. (English) Zbl 1277.42035 J. Funct. Anal. 263, No. 12, 3784-3803 (2012). Reviewer: Vladimir V. Kisil (Leeds) MSC: 42C15 46B15 47A05 PDFBibTeX XMLCite \textit{P. G. Casazza} and \textit{G. E. Pfander}, J. Funct. Anal. 263, No. 12, 3784--3803 (2012; Zbl 1277.42035) Full Text: DOI arXiv
Casazza, Peter G.; Fickus, Matthew; Heinecke, Andreas; Wang, Yang; Zhou, Zhengfang Spectral tetris fusion frame constructions. (English) Zbl 1257.42042 J. Fourier Anal. Appl. 18, No. 4, 828-851 (2012). Reviewer: Richard A. Zalik (Auburn) MSC: 42C15 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., J. Fourier Anal. Appl. 18, No. 4, 828--851 (2012; Zbl 1257.42042) Full Text: DOI arXiv
Bodmann, Bernhard G.; Cahill, Jameson; Casazza, Peter G. Fusion frames and the restricted isometry property. (English) Zbl 1254.42038 Numer. Funct. Anal. Optim. 33, No. 7-9, 770-790 (2012). Reviewer: Richard A. Zalik (Auburn) MSC: 42C15 PDFBibTeX XMLCite \textit{B. G. Bodmann} et al., Numer. Funct. Anal. Optim. 33, No. 7--9, 770--790 (2012; Zbl 1254.42038) Full Text: DOI arXiv
Cahill, Jameson; Casazza, Peter G.; Li, Shidong Non-orthogonal fusion frames and the sparsity of fusion frame operators. (English) Zbl 1300.42005 J. Fourier Anal. Appl. 18, No. 2, 287-308 (2012). MSC: 42C15 68M14 PDFBibTeX XMLCite \textit{J. Cahill} et al., J. Fourier Anal. Appl. 18, No. 2, 287--308 (2012; Zbl 1300.42005) Full Text: DOI arXiv
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G. Auto-tuning unit norm frames. (English) Zbl 1230.42037 Appl. Comput. Harmon. Anal. 32, No. 1, 1-15 (2012). MSC: 42C15 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., Appl. Comput. Harmon. Anal. 32, No. 1, 1--15 (2012; Zbl 1230.42037) Full Text: DOI arXiv
Balan, Radu; Casazza, Pete; Landau, Zeph Redundancy for localized frames. (English) Zbl 1254.42037 Isr. J. Math. 185, 445-476 (2011). Reviewer: Somantika Datta (Moscow, ID) MSC: 42C15 PDFBibTeX XMLCite \textit{R. Balan} et al., Isr. J. Math. 185, 445--476 (2011; Zbl 1254.42037) Full Text: DOI arXiv
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali Sparse fusion frames: existence and construction. (English) Zbl 1264.94042 Adv. Comput. Math. 35, No. 1, 1-31 (2011). Reviewer: John Schmeelk (Doha) MSC: 94A12 42C15 46C99 68P30 PDFBibTeX XMLCite \textit{R. Calderbank} et al., Adv. Comput. Math. 35, No. 1, 1--31 (2011; Zbl 1264.94042) Full Text: DOI arXiv
Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta A quantitative notion of redundancy for finite frames. (English) Zbl 1211.42027 Appl. Comput. Harmon. Anal. 30, No. 3, 348-362 (2011). MSC: 42C15 PDFBibTeX XMLCite \textit{B. G. Bodmann} et al., Appl. Comput. Harmon. Anal. 30, No. 3, 348--362 (2011; Zbl 1211.42027) Full Text: DOI arXiv
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang Constructing tight fusion frames. (English) Zbl 1221.42052 Appl. Comput. Harmon. Anal. 30, No. 2, 175-187 (2011). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 42C15 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., Appl. Comput. Harmon. Anal. 30, No. 2, 175--187 (2011; Zbl 1221.42052) Full Text: DOI
Bodmann, Bernhard G.; Casazza, Peter G. The road to equal-norm Parseval frames. (English) Zbl 1194.46018 J. Funct. Anal. 258, No. 2, 397-420 (2010). Reviewer: Bin Han (Edmonton) MSC: 46B15 42C15 PDFBibTeX XMLCite \textit{B. G. Bodmann} and \textit{P. G. Casazza}, J. Funct. Anal. 258, No. 2, 397--420 (2010; Zbl 1194.46018) Full Text: DOI
Balan, Radu; Bodmann, Bernhard G.; Casazza, Peter G.; Edidin, Dan Painless reconstruction from magnitudes of frame coefficients. (English) Zbl 1181.42032 J. Fourier Anal. Appl. 15, No. 4, 488-501 (2009). Reviewer: István Mező (Debrecen) MSC: 42C15 05B05 PDFBibTeX XMLCite \textit{R. Balan} et al., J. Fourier Anal. Appl. 15, No. 4, 488--501 (2009; Zbl 1181.42032) Full Text: DOI
Casazza, Peter G.; Fickus, Matthew Minimizing fusion frame potential. (English) Zbl 1175.42010 Acta Appl. Math. 107, No. 1-3, 7-24 (2009). MSC: 42C15 PDFBibTeX XMLCite \textit{P. G. Casazza} and \textit{M. Fickus}, Acta Appl. Math. 107, No. 1--3, 7--24 (2009; Zbl 1175.42010) Full Text: DOI
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong Fusion frames and distributed processing. (English) Zbl 1258.42029 Appl. Comput. Harmon. Anal. 25, No. 1, 114-132 (2008). MSC: 42C15 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., Appl. Comput. Harmon. Anal. 25, No. 1, 114--132 (2008; Zbl 1258.42029) Full Text: DOI arXiv
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin; Tremain, Janet C. A decomposition theorem for frames and the Feichtinger conjecture. (English) Zbl 1155.46010 Proc. Am. Math. Soc. 136, No. 6, 2043-2053 (2008). Reviewer: Ole Christensen (Lyngby) MSC: 46C05 42C15 46L05 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., Proc. Am. Math. Soc. 136, No. 6, 2043--2053 (2008; Zbl 1155.46010) Full Text: DOI arXiv
Casazza, Peter G.; Kutyniok, Gitta A generalization of Gram-Schmidt orthogonalization generating all Parseval frames. (English) Zbl 1118.65027 Adv. Comput. Math. 27, No. 1, 65-78 (2007). MSC: 65F25 PDFBibTeX XMLCite \textit{P. G. Casazza} and \textit{G. Kutyniok}, Adv. Comput. Math. 27, No. 1, 65--78 (2007; Zbl 1118.65027) Full Text: DOI
Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta A new identity for Parseval frames. (English) Zbl 1136.42308 Proc. Am. Math. Soc. 135, No. 4, 1007-1015 (2007). MSC: 42C15 94A12 PDFBibTeX XMLCite \textit{R. Balan} et al., Proc. Am. Math. Soc. 135, No. 4, 1007--1015 (2007; Zbl 1136.42308) Full Text: DOI arXiv
Casazza, Peter G.; Tremain, Janet Crandell The Kadison-Singer problem in mathematics and engineering. (English) Zbl 1160.46333 Proc. Natl. Acad. Sci. USA 103, No. 7, 2032-2039 (2006). MSC: 46L99 46B99 94A12 PDFBibTeX XMLCite \textit{P. G. Casazza} and \textit{J. C. Tremain}, Proc. Natl. Acad. Sci. USA 103, No. 7, 2032--2039 (2006; Zbl 1160.46333) Full Text: DOI arXiv
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph Density, overcompleteness, and localization of frames. (English) Zbl 1142.42313 Electron. Res. Announc. Am. Math. Soc. 12, 71-86 (2006). MSC: 42C15 46C99 PDFBibTeX XMLCite \textit{R. Balan} et al., Electron. Res. Announc. Am. Math. Soc. 12, 71--86 (2006; Zbl 1142.42313) Full Text: DOI
Casazza, Pete; Christensen, Ole; Stoeva, Diana T. Frame expansions in separable Banach spaces. (English) Zbl 1091.46007 J. Math. Anal. Appl. 307, No. 2, 710-723 (2005). Reviewer: James R. Holub (Blacksburg) MSC: 46B15 46C05 PDFBibTeX XMLCite \textit{P. Casazza} et al., J. Math. Anal. Appl. 307, No. 2, 710--723 (2005; Zbl 1091.46007) Full Text: DOI
Casazza, Peter G.; Christensen, Ole; Lindner, Alexander M.; Vershynin, Roman Frames and the Feichtinger conjecture. (English) Zbl 1082.46018 Proc. Am. Math. Soc. 133, No. 4, 1025-1033 (2005). Reviewer: James R. Holub (Blacksburg) MSC: 46C05 46L05 42C40 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., Proc. Am. Math. Soc. 133, No. 4, 1025--1033 (2005; Zbl 1082.46018) Full Text: DOI
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph Excesses of Gabor frames. (English) Zbl 1028.42021 Appl. Comput. Harmon. Anal. 14, No. 2, 87-106 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{R. Balan} et al., Appl. Comput. Harmon. Anal. 14, No. 2, 87--106 (2003; Zbl 1028.42021) Full Text: DOI