On the product formula and convolution associated with the index Whittaker transform

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

Sousa, R (Autor) Outra; Guerra, M (Autor) Outra; Yakubovich, SB (Autor) FCUP

Revista

Título: Journal of Mathematical Analysis and Applications

Vol. 475

Páginas: 939-965

ISSN: 0022-247X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 0 Citações

Outras Informações

ID Authenticus: P-00Q-G0K

DOI: 10.1016/j.jmaa.2019.03.009

Abstract (EN): We deduce a product formula for the Whittaker function W-kappa,W-mu whose kernel does not depend on the second parameter. Making use of this formula, we define the positivity-preserving convolution operator associated with the index Whittaker transform, which is seen to be a direct generalization of the Kontorovich-Lebedev convolution. The mapping properties of this convolution operator are investigated; in particular, a Banach algebra property is established and then applied to yield an analogue of the Wiener-Levy theorem for the index Whittaker transform. We show how our results can be used to prove the existence of a unique solution for a class of convolution-type integral equations.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 27