ON THE HALF-HARTLEY TRANSFORM, ITS ITERATION AND COMPOSITIONS WITH FOURIER TRANSFORMS

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

Autores

Yakubovich, SB (Autor) FCUP

Revista

Título: Journal of Integral Equations and Applications

Vol. 26 Nº 3

Páginas: 581-608

ISSN: 0897-3962

Editora: Rocky Mountain Mathematics Consortium

Indexação

ISI Web of Knowledge - 7 Citações

Scopus - 7 Citações

Outras Informações

ID Authenticus: P-00A-5NP

DOI: 10.1216/jie-2014-26-4-581

Abstract (EN): Employing the generalized Parseval equality for the Mellin transform and elementary trigonometric formulas, the iterated Hartley transform on the nonnegative half-axis (the iterated half-Hartley transform) is investigated in L-2. Mapping and inversion properties are discussed, its relationship with the iterated Stieltjes transform is established. Various compositions with the Fourier cosine and sine transforms are obtained. The results are applied to the uniqueness and universality of the closed form solutions for certain new singular integral and integro-functional equations.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 28