Frame Operators and Semi-frame Operators of Finite Gabor Frames

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Government College Kottayam)
Nambudiri, T.C. Easwaran (Department of Mathematics, Government Brennen College Thalassery)
Thomas, Jineesh (St. Thomas College Palai)

Namboothiri, N.M. Madhavan, Nambudiri, T.C. Easwaran, & Thomas, Jineesh. (2021). FRAME OPERATORS AND SEMI-FRAME OPERATORS OF FINITE GABOR FRAMES. 한국수학교육학회지시리즈B:순수및응용수학, 28(4), 315-328, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.315

복사

Abstract

A characterization of frame operators of finite Gabor frames is presented here. Regularity aspects of Gabor frames in 𝑙<sup>2</sup>(ℤ<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

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논문 상세

Vol.28 No.4

FRAME OPERATORS AND SEMI-FRAME OPERATORS OF FINITE GABOR FRAMES

Frame Operators and Semi-frame Operators of Finite Gabor Frames

Abstract

한국수학교육학회지시리즈B:순수및응용수학