Frame constants of Gabor frames near the critical density
Tài liệu tham khảo
Akhiezer, 1990
Benedetto, 1995, Differentiation and the Balian–Low theorem, J. Fourier Anal. Appl., 1, 355, 10.1007/s00041-001-4016-5
Christensen, 2003, An Introduction to Frames and Riesz Bases, 10.1007/978-0-8176-8224-8
Folland, 1989
Gabor, 1946, Theory of communication, J. IEE (London), 93, 429
Gröchenig, 2001
Gröchenig, 2009, Gabor (super)frames with Hermite functions, Math. Ann., 345, 267, 10.1007/s00208-009-0350-8
Hayman, 1974, The local growth of the power series: A survey of the Wiman–Valiron method, Canad. Math. Bull., 17, 317, 10.4153/CMB-1974-064-0
Heil, 2007, History and evolution of the density theorem for Gabor frames, J. Fourier Anal. Appl., 13, 113, 10.1007/s00041-006-6073-2
Janssen, 1981, Gabor representation of generalized functions, J. Math. Anal. Appl., 83, 377, 10.1016/0022-247X(81)90130-X
Janssen, 2002, Hyperbolic secants yield Gabor frames, Appl. Comput. Harmon. Anal., 12, 259, 10.1006/acha.2001.0376
Lyubarskii, 1992, Frames in the Bargmann space of entire functions, vol. 11, 167
Lyubarskii, 2001, On approximation of subharmonic functions, J. Anal. Math., 83, 121, 10.1007/BF02790259
Lyubarskii, 1999, Convergence and summability of Gabor expansions at the Nyquist density, J. Fourier Anal. Appl., 5, 127, 10.1007/BF01261606
Seip, 2004, Interpolation and Sampling in Spaces of Analytic Functions, vol. 33
Seip, 1992, Density theorems for sampling and interpolation in the Bargmann–Fock space, II, J. Reine Angew. Math., 429, 107
P. Sondergaard, personal communication
Th. Strohmer, personal communication
Walnut, 1992, Continuity properties of the Gabor frame operator, J. Math. Anal. Appl., 165, 479, 10.1016/0022-247X(92)90053-G