Offset Linear Canonical Stockwell Transform for Boehmians

Autor:	Navneet Kaur, Bivek Gupta, Amit K. Verma, Ravi P. Agarwal
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	offset linear canonical Stockwell transform Boehmian space almost periodic function Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 15, p 2379 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12152379
Popis:	In this article, we construct a Boehmian space using the convolution theorem that contains the offset linear canonical Stockwell transforms (OLCST) of all square-integrable Boehmians. It is also proven that the extended OLCST on square-integrable Boehmians is consistent with the traditional OLCST. Furthermore, it is one-to-one, linear, and continuous with respect to Δ-convergence as well as Δ-convergence. Subsequently, we introduce a discrete variant of the OLCST. Ultimately, we broaden the application of the presented work by examining the OLCST within the domain of almost periodic functions.
Databáze:	Directory of Open Access Journals
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