Work

The Generalized Mehler–Fock Transform over Lebesgue Spaces

Year: 2024

Type: article

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.

Source: Foundations

DOI: 10.3390/foundations4030028

Authors: Jeetendrasingh Maan, Benito J. González, Emilio R. Negrín

Institutions: National Institute of Technology Hamirpur, Universidad de La Laguna

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,137

OpenAlex ID: W4402186899

FWCI: 2.29

Cites: 18

Cited by: 3

Related to: 10