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

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Yakubovich, SB (Author) FCUP

Journal

Title: Journal of Integral Equations and Applications

Vol. 26 No. 3

Pages: 581-608

ISSN: 0897-3962

Publisher: Rocky Mountain Mathematics Consortium

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 7 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 28