June 2021 Continuity of the fractional Hankel wavelet transform on Gelfand–Shilov spaces
Kanailal Mahato, Prashant Singh
Rocky Mountain J. Math. 51(3): 963-972 (June 2021). DOI: 10.1216/rmj.2021.51.963

Abstract

We give characterization results of the fractional Hankel transform as well its inverse on some Gelfand–Shilov spaces of type W. Furthermore, we derive the boundedness properties of wavelet transforms involving the fractional Hankel transform on certain suitably constructed spaces of type W.

Citation

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Kanailal Mahato. Prashant Singh. "Continuity of the fractional Hankel wavelet transform on Gelfand–Shilov spaces." Rocky Mountain J. Math. 51 (3) 963 - 972, June 2021. https://doi.org/10.1216/rmj.2021.51.963

Information

Received: 11 June 2020; Revised: 11 November 2020; Accepted: 12 December 2020; Published: June 2021
First available in Project Euclid: 11 August 2021

Digital Object Identifier: 10.1216/rmj.2021.51.963

Subjects:
Primary: ‎42C40 , ‎43A32 , 46F12
Secondary: 46F05 , 65T60

Keywords: fractional Hankel transform , Gelfand–Shilov space , wavelet transform

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

Vol.51 • No. 3 • June 2021
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