The Generalized Mehler–Fock Transform over Lebesgue Spaces

Autor: Jeetendrasingh Maan, Benito J. González, Emilio R. Negrín
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Foundations, Vol 4, Iss 3, Pp 442-450 (2024)
Druh dokumentu: article
ISSN: 2673-9321
DOI: 10.3390/foundations4030028
Popis: 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.
Databáze: Directory of Open Access Journals