Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians

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.

Bibliographic Details
Main Authors: Al-Omari, Shrideh Khalaf Qasem, Kilicman, Adem
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30202/1/30202.pdf
_version_ 1796971693529366528
author Al-Omari, Shrideh Khalaf Qasem
Kilicman, Adem
author_facet Al-Omari, Shrideh Khalaf Qasem
Kilicman, Adem
author_sort Al-Omari, Shrideh Khalaf Qasem
collection UPM
description 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.
first_indexed 2024-03-06T08:16:47Z
format Article
id upm.eprints-30202
institution Universiti Putra Malaysia
language English
last_indexed 2024-03-06T08:16:47Z
publishDate 2013
publisher Hindawi Publishing Corporation
record_format dspace
spelling upm.eprints-302022017-10-19T05:57:10Z http://psasir.upm.edu.my/id/eprint/30202/ Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians Al-Omari, Shrideh Khalaf Qasem Kilicman, Adem 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30202/1/30202.pdf Al-Omari, Shrideh Khalaf Qasem and Kilicman, Adem (2013) Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians. Abstract and Applied Analysis, 2013. art. no. 348701. pp. 1-6. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2013/348701/abs/ 10.1155/2013/348701
spellingShingle Al-Omari, Shrideh Khalaf Qasem
Kilicman, Adem
Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians
title Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians
title_full Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians
title_fullStr Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians
title_full_unstemmed Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians
title_short Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians
title_sort some remarks on the extended hartley hilbert and fourier hilbert transforms of boehmians
url http://psasir.upm.edu.my/id/eprint/30202/1/30202.pdf
work_keys_str_mv AT alomarishridehkhalafqasem someremarksontheextendedhartleyhilbertandfourierhilberttransformsofboehmians
AT kilicmanadem someremarksontheextendedhartleyhilbertandfourierhilberttransformsofboehmians