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

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

Authors

Yakubovich, S (Author) FCUP

Journal

Title: Integral Transforms and Special Functions

Vol. 25

Pages: 836-848

ISSN: 1065-2469

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 7 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13