The Generalized Mehler–Fock Transform over Lebesgue Spaces
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.
Authors
- Jeetendrasingh Maan (ORCID: https://orcid.org/0000-0001-6569-8540)
- E. R. Negrín (ORCID: https://orcid.org/0000-0002-5506-5050)
- B. J. González (ORCID: https://orcid.org/0000-0003-4349-7267)
Institutions
- Universidad de La Laguna (ES)
- National Institute of Technology Hamirpur (BD)
Publication Details
- Journal
- Foundations
- Published
- 2024-09-02
- DOI
- https://doi.org/10.3390/foundations4030028
- Citations
- 1
- Primary Topic
- Renaissance Literature and Culture
- Type
- article
- Field-Weighted Citation Impact
- 21.21