Journal of the Ramanujan Mathematical Society
Volume 37, Issue 2, June 2022 pp. 159–171.
Multidimensional linear canonical transform and convolution
Authors:
Manab Kundu, Akhilesh Prasad and Randhir Kumar Verma
Author institution:Department of Mathematics and Computing, Indian Institute of
Technology (Indian School of Mines), Dhanbad 826 004, India
Summary:
In this article, we studied the inverse theorems and Parseval's identity for
higher dimensional linear canonical transform. The existing convolution for
the single and multi-variable functions is also discussed. We introduced a
generalized convolution of multiple variables and derived their properties
for the multidimensional linear canonical transform including convolution
theorem and product theorem.
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