Benedetto, John J.; Czaja, Wojciech; Maltsev, Andrei Ya. The Balian-Low theorem for the symplectic form on \(\mathbb R^{2d}\). (English) Zbl 1062.42026 J. Math. Phys. 44, No. 4, 1735-1750 (2003). MSC: 42C40 42C15 94A12 PDFBibTeX XMLCite \textit{J. J. Benedetto} et al., J. Math. Phys. 44, No. 4, 1735--1750 (2003; Zbl 1062.42026) Full Text: DOI arXiv
Carrizo, Ivana; Favier, Sergio Perturbation of wavelet and Gabor frames. (English) Zbl 1050.42020 Anal. Theory Appl. 19, No. 3, 238-254 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{I. Carrizo} and \textit{S. Favier}, Anal. Theory Appl. 19, No. 3, 238--254 (2003; Zbl 1050.42020) Full Text: DOI
Liu, Youming Stability and completeness of Gabor systems. (Chinese. English summary) Zbl 1037.42032 Chin. Ann. Math., Ser. A 24, No. 2, 225-230 (2003). MSC: 42C15 42C40 42C30 PDFBibTeX XMLCite \textit{Y. Liu}, Chin. Ann. Math., Ser. A 24, No. 2, 225--230 (2003; Zbl 1037.42032)
Christensen, Khadija Laghrida; Christensen, Ole Linear independence in functions spaces. (Danish. English summary) Zbl 1033.42001 Normat 51, No. 1, 2-14 (2003). MSC: 42-01 33B10 42C40 PDFBibTeX XMLCite \textit{K. L. Christensen} and \textit{O. Christensen}, Normat 51, No. 1, 2--14 (2003; Zbl 1033.42001)
Czaja, Wojciech; Gigante, Giacomo Continuous Gabor transform for strong hypergroups. (English) Zbl 1037.42031 J. Fourier Anal. Appl. 9, No. 4, 321-339 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C15 42C40 43A62 PDFBibTeX XMLCite \textit{W. Czaja} and \textit{G. Gigante}, J. Fourier Anal. Appl. 9, No. 4, 321--339 (2003; Zbl 1037.42031) Full Text: DOI
Bonami, Aline; Demange, Bruno; Jaming, Philippe Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms. (English) Zbl 1037.42010 Rev. Mat. Iberoam. 19, No. 1, 23-55 (2003). Reviewer: Richard A. Zalik (Auburn University) MSC: 42B10 33C45 94A12 42C15 42C40 PDFBibTeX XMLCite \textit{A. Bonami} et al., Rev. Mat. Iberoam. 19, No. 1, 23--55 (2003; Zbl 1037.42010) Full Text: DOI arXiv EuDML
Bittner, Kai Wilson bases on the interval. (English) Zbl 1027.42023 Feichtinger, Hans G. (ed.) et al., Advances in Gabor analysis. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 197-221 (2003). MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{K. Bittner}, in: Advances in Gabor analysis. Basel: Birkhäuser. 197--221 (2003; Zbl 1027.42023)
Christensen, Ole; Strohmer, Thomas Methods for approximation of the inverse (Gabor) frame operator. (English) Zbl 1036.42029 Feichtinger, Hans G. (ed.) et al., Advances in Gabor analysis. Basel: Birkhäuser (ISBN 0-8176-4239-0/hbk). Applied and Numerical Harmonic Analysis, 171-195 (2003). Reviewer: Wojciech Czaja (Wrocław) MSC: 42C15 42C40 PDFBibTeX XMLCite \textit{O. Christensen} and \textit{T. Strohmer}, in: Advances in Gabor analysis. Basel: Birkhäuser. 171--195 (2003; Zbl 1036.42029)
Heil, Christopher Integral operators, pseudodifferential operators, and Gabor frames. (English) Zbl 1036.42030 Feichtinger, Hans G. (ed.) et al., Advances in Gabor analysis. Basel: Birkhäuser (ISBN 0-8176-4239-0/hbk). Applied and Numerical Harmonic Analysis, 153-169 (2003). Reviewer: Wojciech Czaja (Wrocław) MSC: 42C15 35S05 47G10 42C40 PDFBibTeX XMLCite \textit{C. Heil}, in: Advances in Gabor analysis. Basel: Birkhäuser. 153--169 (2003; Zbl 1036.42030)
Gabardo, Jean-Pierre; Han, Deguang Aspects of Gabor analysis and operator algebras. (English) Zbl 1033.42035 Feichtinger, Hans G. (ed.) et al., Advances in Gabor analysis. Basel: Birkhäuser (ISBN 0-8176-4239-0/hbk). Applied and Numerical Harmonic Analysis, 129-152 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 42C15 47C05 PDFBibTeX XMLCite \textit{J.-P. Gabardo} and \textit{D. Han}, in: Advances in Gabor analysis. Basel: Birkhäuser. 129--152 (2003; Zbl 1033.42035)
Feichtinger, Hans G.; Nowak, Krzysztof A first survey of Gabor multipliers. (English) Zbl 1032.42033 Feichtinger, Hans G. (ed.) et al., Advances in Gabor analysis. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 99-128 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C15 94A12 42C40 47B37 PDFBibTeX XMLCite \textit{H. G. Feichtinger} and \textit{K. Nowak}, in: Advances in Gabor analysis. Basel: Birkhäuser. 99--128 (2003; Zbl 1032.42033)
Casazza, Peter G.; Lammers, Mark C. Bracket products for Weyl–Heisenberg frames. (English) Zbl 1027.42027 Feichtinger, Hans G. (ed.) et al., Advances in Gabor analysis. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 71-98 (2003). MSC: 42C40 42C15 94A12 PDFBibTeX XMLCite \textit{P. G. Casazza} and \textit{M. C. Lammers}, in: Advances in Gabor analysis. Basel: Birkhäuser. 71--98 (2003; Zbl 1027.42027) Full Text: arXiv
Janssen, A. J. E. M. Zak transforms with few zeros and the tie. (English) Zbl 1027.42025 Feichtinger, Hans G. (ed.) et al., Advances in Gabor analysis. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 31-70 (2003). MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{A. J. E. M. Janssen}, in: Advances in Gabor analysis. Basel: Birkhäuser. 31--70 (2003; Zbl 1027.42025)
Feichtinger, Hans G.; Strohmer, Thomas Introduction to “Advances in Gabor analysis”. (English) Zbl 1027.42001 Feichtinger, Hans G. (ed.) et al., Advances in Gabor analysis. Basel: Birkhäuser. Applied and Numerical Harmonic Analysis. 1-9 (2003). MSC: 42-06 42C40 00B15 42C15 PDFBibTeX XMLCite \textit{H. G. Feichtinger} and \textit{T. Strohmer}, in: Advances in Gabor analysis. Basel: Birkhäuser. 1--9 (2003; Zbl 1027.42001)
Heil, Christopher; Kutyniok, Gitta Density of weighted wavelet frames. (English) Zbl 1029.42031 J. Geom. Anal. 13, No. 3, 479-493 (2003). MSC: 42C40 42C15 46C99 PDFBibTeX XMLCite \textit{C. Heil} and \textit{G. Kutyniok}, J. Geom. Anal. 13, No. 3, 479--493 (2003; Zbl 1029.42031) Full Text: DOI
Gu, Qing; Han, Deguang Functional Gabor frame multipliers. (English) Zbl 1029.42032 J. Geom. Anal. 13, No. 3, 467-478 (2003). MSC: 42C40 42C15 46E15 PDFBibTeX XMLCite \textit{Q. Gu} and \textit{D. Han}, J. Geom. Anal. 13, No. 3, 467--478 (2003; Zbl 1029.42032) Full Text: DOI
Benedetto, John J.; Czaja, Wojciech; Gadziński, Przemysław; Powell, Alexander M. The Balian-Low theorem regularity of Gabor systems. (English) Zbl 1037.42030 J. Geom. Anal. 13, No. 2, 239-254 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C15 42C40 PDFBibTeX XMLCite \textit{J. J. Benedetto} et al., J. Geom. Anal. 13, No. 2, 239--254 (2003; Zbl 1037.42030) Full Text: DOI
Yılmaz, Özgür Coarse quantization of highly redundant time-frequency representations of square-integrable functions. (English) Zbl 1027.94515 Appl. Comput. Harmon. Anal. 14, No. 2, 107-132 (2003). MSC: 94C10 42C15 94A14 PDFBibTeX XMLCite \textit{Ö. Yılmaz}, Appl. Comput. Harmon. Anal. 14, No. 2, 107--132 (2003; Zbl 1027.94515) 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
Lakey, Joseph D.; Wang, Ying On perturbations of irregular Gabor frames. (English) Zbl 1022.42022 J. Comput. Appl. Math. 155, No. 1, 111-129 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C15 42C40 PDFBibTeX XMLCite \textit{J. D. Lakey} and \textit{Y. Wang}, J. Comput. Appl. Math. 155, No. 1, 111--129 (2003; Zbl 1022.42022) Full Text: DOI
Janssen, A. J. E. M. On generating tight Gabor frames at critical density. (English) Zbl 1024.42018 J. Fourier Anal. Appl. 9, No. 2, 175-214 (2003). MSC: 42C40 94A12 33E05 PDFBibTeX XMLCite \textit{A. J. E. M. Janssen}, J. Fourier Anal. Appl. 9, No. 2, 175--214 (2003; Zbl 1024.42018) Full Text: DOI Link
Han, Deguang Approximations for Gabor and wavelet frames. (English) Zbl 1021.42021 Trans. Am. Math. Soc. 355, No. 8, 3329-3342 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 47B10 PDFBibTeX XMLCite \textit{D. Han}, Trans. Am. Math. Soc. 355, No. 8, 3329--3342 (2003; Zbl 1021.42021) Full Text: DOI
Sun, Wenchang; Zhou, Xingwei Irregular Gabor frames and their stability. (English) Zbl 1019.42022 Proc. Am. Math. Soc. 131, No. 9, 2883-2893 (2003). Reviewer: Boris Rubin (Jerusalem) MSC: 42C40 41A58 42C15 PDFBibTeX XMLCite \textit{W. Sun} and \textit{X. Zhou}, Proc. Am. Math. Soc. 131, No. 9, 2883--2893 (2003; Zbl 1019.42022) Full Text: DOI
Liu, Youming; Wang, Yang The uniformity of non-uniform Gabor bases. (English) Zbl 1019.42023 Adv. Comput. Math. 18, No. 2-4, 345-355 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{Y. Wang}, Adv. Comput. Math. 18, No. 2--4, 345--355 (2003; Zbl 1019.42023) Full Text: DOI
Casazza, Peter G.; Christensen, Ole Gabor frames over irregular lattices. (English) Zbl 1027.42026 Adv. Comput. Math. 18, No. 2-4, 329-344 (2003). Reviewer: Wojciech Czaj (Wroclaw) MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{P. G. Casazza} and \textit{O. Christensen}, Adv. Comput. Math. 18, No. 2--4, 329--344 (2003; Zbl 1027.42026) Full Text: DOI
Gröchenig, Karlheinz Localized frames are finite unions of Riesz sequences. (English) Zbl 1019.42019 Adv. Comput. Math. 18, No. 2-4, 149-157 (2003). Reviewer: Ole Christensen (Lyngby) MSC: 42C40 42C15 PDFBibTeX XMLCite \textit{K. Gröchenig}, Adv. Comput. Math. 18, No. 2--4, 149--157 (2003; Zbl 1019.42019) Full Text: DOI
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph Deficits and excesses of frames. (English) Zbl 1029.42030 Adv. Comput. Math. 18, No. 2-4, 93-116 (2003). Reviewer: Wojciech Czaj (Wroclaw) MSC: 42C40 PDFBibTeX XMLCite \textit{R. Balan} et al., Adv. Comput. Math. 18, No. 2--4, 93--116 (2003; Zbl 1029.42030) Full Text: DOI
Christensen, Ole An introduction to frames and Riesz bases. (English) Zbl 1017.42022 Applied and Numerical Harmonic Analysis. Boston, MA: Birkhäuser. xx, 440 p. (2003). Reviewer: Richard A.Zalik (Auburn University) MSC: 42C40 42-02 42C15 46B15 46C05 PDFBibTeX XMLCite \textit{O. Christensen}, An introduction to frames and Riesz bases. Boston, MA: Birkhäuser (2003; Zbl 1017.42022)