The Generalized Mehler–Fock Transform over Lebesgue Spaces-Reference-Cited by-同舟云学术

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The Generalized Mehler–Fock Transform over Lebesgue Spaces

Published:2024-09-02 Issue:3 Volume:4 Page:442-450
ISSN:2673-9321
Container-title:Foundations
language:en
Short-container-title:Foundations

Author:

Maan Jeetendrasingh¹^ORCID,González Benito J.²^ORCID,Negrín Emilio R.²^ORCID

Affiliation:

1. Department of Mathematics and Scientific Computing, National Institute of Technology, Hamirpur 177005, India

2. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de La Laguna (ULL), Campus de Anchieta, ES-38271 La Laguna, Spain

Abstract

This paper focuses on establishing boundedness properties and Parseval–Goldstein-type relations for the generalized Mehler–Fock transform initially introduced by B. L. J. Braaksma and B. M. Meulenbeld (Compositio Math., 18(3):235–287, 1967). Also, we derive an inversion formula for this transform over Lebesgue spaces.

Publisher

MDPI AG

Link

https://www.mdpi.com/2673-9321/4/3/28/pdf

Reference25 articles.

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2. On the representation of an arbitrary function by an integrals involving the Legendre’s functions with a complex index;Fock;Dokl. Akad. Nauk.,1943

3. Sneedon, I.N. (1972). The Use of Integral Transforms, Mc-Graw Hill.

4. The solution of some dual integral equations;Babloian;Prikl. Mat. Mekh.,1964

5. Polarizability of supported metal nanoparticles: Mehler–Fock approach;Jesper;J. Appl. Phys.,2012

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