Some Remarks on the Extended Hartley-Hilbert and Fourier-Hilbert Transforms of Boehmians-Reference-Cited by-同舟云学术

Some Remarks on the Extended Hartley-Hilbert and Fourier-Hilbert Transforms of Boehmians

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Al-Omari S. K. Q.¹,Kılıçman A.²^ORCID

Affiliation:

1. Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa' Applied University, Amman 11134, Jordan

2. Department of Mathematics and Institute of Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia

Abstract

We obtain generalizations of Hartley-Hilbert and Fourier-Hilbert transforms on classes of distributions having compact support. Furthermore, we also study extension to certain space of Lebesgue integrable Boehmians. New characterizing theorems are also established in an adequate performance.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/348701.pdf

Reference12 articles.

1. Fourier sine (cosine) transform for ultradistributions and their extensions to tempered and ultraBoehmian spaces

2. On the generalized Hartley-Hilbert and Fourier-Hilbert transforms

3. Analytic properties of the Hartley transform and their implications

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