A Class of Structured Frames in Finite Dimensional Hilbert Spaces

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

Thomas, Jineesh, Namboothiri, N.M. Madhavan, & Nambudiri, T.C. Easwaran. (2022). A CLASS OF STRUCTURED FRAMES IN FINITE DIMENSIONAL HILBERT SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 29(4), 321-334, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.321

복사

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

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논문 상세

Vol.29 No.4

A CLASS OF STRUCTURED FRAMES IN FINITE DIMENSIONAL HILBERT SPACES

A Class of Structured Frames in Finite Dimensional Hilbert Spaces

Abstract

한국수학교육학회지시리즈B:순수및응용수학