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1. Canonical potential and Lp-Sobolev space involving linear canonical Fourier transform.

Author

Prasad, Akhilesh and Kumar, Amit

Subjects
*PSEUDODIFFERENTIAL operators, *VECTOR spaces, *INTEGRAL representations, *LINEAR systems, *SOBOLEV spaces
Abstract

The main objective of this paper is to enrich the theoretical system of the linear canonical Fourier transform (LCFT) by introducing the canonical potential J m , A and corresponding L p -Sobolev space. Moreover, the Schwartz-type space S A is introduced. Further, pseudo-differential operator (PDO) is defined and obtained its another integral representation. The L p -boundedness result for the pseudo-differential operator associated with the LCFT is discussed. Some applications of Sobolev-type spaces H A m , p and H A m , p are given. [ABSTRACT FROM AUTHOR]

Published
2023
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