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ISSN : 1226-0657

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Vol.31 No.2
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Gabor Like Structured Frames in Separable Hilbert Spaces

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
2024, v.31 no.2, pp.235-249
https://doi.org/10.7468/jksmeb.2024.31.2.235
Jineesh Thomas (St. Thomas College Palai)
N.M.M. Namboothiri (Government College Shanthanpara)
T.C.E. Nambudiri (Government Brennen College Kannu)
Jineesh, T. , N.M.M., N. , & T.C.E., N. (2024). Gabor Like Structured Frames in Separable Hilbert Spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 31(2), 235-249, https://doi.org/10.7468/jksmeb.2024.31.2.235
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Abstract

We obtain a structured class of frames in separable Hilbert spaces which are generalizations of Gabor frames in L2(ℝ) in their construction aspects. For this, the concept of Gabor type unitary systems in [13] is generalized by considering a system of invertible operators in place of unitary systems. Pseudo Gabor like frames and pseudo Gabor frames are introduced and the corresponding frame operators are characterized.

keywords
Gabor like frames, Gabor frame operator, pseudo B-Gabor like frame, pseudo B-Gabor frame, intertwining operator.

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

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