The Plancherel, Titchmarsh and convolution theorems for the half-Hartley transform

• Tipo: Artigo em Revista Científica Internacional
• Data: 2014

Autores

Yakubovich, S (Autor) FCUP

Revista

Título: Integral Transforms and Special Functions

Vol. 25

Páginas: 836-848

ISSN: 1065-2469

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 7 Citações

Scopus - 7 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-009-NAN

DOI: 10.1080/10652469.2014.928706

Abstract (EN): The generalized Parseval equality for the Mellin transform is employed to prove the Plancherel-type theorem in L-2 with the respective inverse operator related to the Hartley transform on the nonnegative half-axis (the half-Hartley transform). Moreover, involving the convolution method, which is based on the double Mellin-Barnes integrals, the corresponding convolution and Titchmarsh's theorems for the half-Hartley transform are established. As an application, we consider solvability conditions for a homogeneous integral equation of the second kind involving the Hartley kernel.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 13