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

ISSN : 1226-0657

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Vol.29 No.4

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A Class of Structured Frames in Finite Dimensional 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
2022, v.29 no.4, pp.321-334
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.321
Thomas, Jineesh
Namboothiri, N.M. Madhavan
Nambudiri, T.C. Easwaran
Thomas,, J. , Namboothiri,, N. M. , & Nambudiri,, T. E. (2022). A Class of Structured Frames in Finite Dimensional Hilbert Spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 29(4), 321-334, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.321

Abstract

We introduce a special class of structured frames having single generators in finite dimensional Hilbert spaces. We call them as pseudo B-Gabor like frames and present a characterisation of the frame operators associated with these frames. The concept of Gabor semi-frames is also introduced and some significant properties of the associated semi-frame operators are discussed.

keywords
Gabor frame, Gabor frame operator, mixed frame operator, semi-frame operator

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

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