B-Gabor type frames in separable Hilbert spaces

Autor:	Thomas Jineesh, N M Madhavan Namboothiri, P N Jayaprasad
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	gabor frame frame operator translation modulation Mathematics QA1-939 Probabilities. Mathematical statistics QA273-280
Zdroj:	Ratio Mathematica, Vol 48, Iss 0 (2023)
Druh dokumentu:	article
ISSN:	1592-7415 2282-8214
DOI:	10.23755/rm.v48i0.1236
Popis:	It is guaranteed that Gabor like structured frames do exist in any finite dimensional Hilbert space via an invertible map from l2(ZN) J Thomas and Nambudiri [2022]. Hence the question: whether it is possible to obtain structured class of frames in separable Hilbert spaces? is relevant. In this article we obtain a structured class of frames for separable Hilbert spaces which are generalizations of Gabor frames for L2(R) in their construction aspects. We call them as B-Gabor type frames and present a characterization of the frame operators associated with these frames when B is a unitary map. Some significant properties of the associated frame operators are discussed.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/22e28d9d142c45fa89e7f7dd00e3a09e Zobrazit plný text záznamu View record in DOAJ