LINEAR CANONICAL TRANSFORM AND SCHWARTZ TYPE SPACES

B. B. Waphare; R. Z. Shaikh

doi:https://doi.org/10.56827/SEAJMMS.2023.1902.24

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

Volume 19, Issue 2 Pages 321-330 August 30, 2023 195 downloads

Article overview

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 spacesLinear canonical transformConvolution.

AMS Subject Classification

44A35.

Reference information

How to Cite

B. B. Waphare, R. Z. Shaikh (2023). LINEAR CANONICAL TRANSFORM AND SCHWARTZ TYPE SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 19(2), 321-330.

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