A Convolution Operator Related to the Generalized Mehler-Fock and Kontorovich-Lebedev Transforms

• Tipo: Artigo em Revista Científica Internacional
• Data: 2013

Autores

Rodrigues, MM (Autor) FCUP; Vieira, N (Autor) FCUP; Yakubovich, S (Autor) FCUP

Revista

Título: Results in Mathematics

Vol. 63

Páginas: 511-528

ISSN: 1422-6383

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 7 Citações

Scopus - 7 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-002-107

DOI: 10.1007/s00025-011-0214-x

Abstract (EN): In this paper we study a generalization of an index integral involving the product of modified Bessel functions and associated Legendre functions. It is applied to a convolution construction associated with this integral, which is related to the classical Kontorovich-Lebedev and generalized Mehler-Fock transforms. Mapping properties and norm estimates in weighted L (p) -spaces, 1 a parts per thousand currency sign p a parts per thousand currency sign 2, are investigated. An application to a class of convolution integral equations is considered. Necessary and sufficient conditions are found for the solvability of these equations in L (2).

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 18