LINEAR CANONICAL TRANSFORM AND SCHWARTZ TYPE SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 193

Volume : 19 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.24
Author :
B. B. Waphare (MAEER s MIT Arts, Commerce and Science College, Alandi - 412105, Pune, Maharashtra, INDIA)
R. Z. Shaikh (MAEER s MIT Arts, Commerce and Science College, Alandi - 412105, Pune, Maharashtra, INDIA)

Abstract

In this paper we have defined the Schwartz type spaces $S_{\Delta,\alpha,A},\: S^{\Delta,\beta,B}, $ $ \:S^{\Delta,\beta,B}_{\Delta,\alpha,A}$. We have studied the mapping properties of LCT between these spaces.

Keywords and Phrases

Schwartz type spaces, Linear canonical transform, Convolution.

A.M.S. subject classification

44A35.

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