The product of generalized wavelet transform involving fractional Hankel-type transform on some function spaces-Reference-Cited by-同舟云学术

The product of generalized wavelet transform involving fractional Hankel-type transform on some function spaces

Published:2019-01 Issue:01 Volume:17 Page:1950002
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

Mahato Kanailal¹

Affiliation:

1. Department of Mathematics, Institute of Science, Banaras Hindu University Varanasi-221005, India

Abstract

We are concerned with the construction and study of composition of wavelet transform (CWT) associated with generalized fractional Hankel-type transform. Parseval’s identity is obtained for the CWT. Plancherel’s formula is also proposed. This paper goes further to describe the boundedness property of the CWT on Zemanian type and Sobolev type spaces. Some particular cases are derived.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691319500024

Reference27 articles.

1. Wavelet Transforms and Their Applications

2. Integral equations associated with Hankel convolutions

3. Variation diminishing Hankel transforms

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