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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.28 No.4

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Frame Operators and Semi-frame Operators of Finite Gabor Frames

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2021, v.28 no.4, pp.315-328
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.315
Namboothiri, N.M. Madhavan
Nambudiri, T.C. Easwaran
Thomas, Jineesh
Namboothiri,, N. M. , Nambudiri,, T. E. , & Thomas,, J. (2021). Frame Operators and Semi-frame Operators of Finite Gabor Frames. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(4), 315-328, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.315

Abstract

A characterization of frame operators of finite Gabor frames is presented here. Regularity aspects of Gabor frames in &#x1D459;<sup>2</sup>(&#x2124;<sub>N</sub>) are discussed by introducing associated semi-frame operators. Gabor type frames in finite dimensional Hilbert spaces are also introduced and discussed.

keywords
Gabor frame operator, semi-frame operator, regular frames

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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