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Conference on Complex Analysis and its Applications
September 11, 2023 17:45, Krasnoyarsk


Фрейм-множество сдвинутой sinc-функции

A. V. Semenov

Euler International Mathematical Institute, St. Petersburg




References
  1. Y. Belov, A. Kulikov, and Y. Lyubarskii, “Gabor frames for rational functions”, Inventiones mathematicae, 231:2 (2023), 431–466
  2. Yu. Belov, A. V. Semenov, Frame set for shifted sinc-function
  3. A. Janssen, T. Strohmer, “Hyperbolic secants yield Gabor frames”, Applied and Computational Harmonic Analysis, 12:2 (2002), 259–267
  4. A. J. E. M. Janssen, “On generating tight Gabor frames at critical density”, Journal of Fourier Analysis and Applications, 9:2 (2003), 175–214
  5. A. J. E. M. Janssen, “Some Weyl-Heisenberg frame bound calculations”, Indagationes Mathematicae, 7:2 (1996), 165–182
  6. Yu. Lyubarskii, “Frames in the Bargmann space of entire functions”, Entire and Subharmonic Functions, Adv. Soviet Math., 11, no. 2, Amer. Math. Soc., Providence, RI, 1992, 167–180
  7. K. Seip, “Density theorems for sampling and interpolation in the Bargmann–Fock space. I”, Journal für die reine und angewandte Mathematik, 1992, no. 429, 91–106
  8. K. Seip, R. Wallstén, “Density theorems for sampling and interpolation in the Bargmann–Fock space. II”, Journal für die reine und angewandte Mathematik, 1992, no. 429, 107–113


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