Some Definition of Hartley-Hilbert and Fourier-Hilbert Transforms in a Quotient Space of Boehmians

We investigate the Hartley-Hilbert and Fourier-Hilbert transforms on a quotient space of Boehmians. The investigated transforms are well-defined and linear mappings in the space of Boehmians. Further properties are also obtained.

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Main Author: S. K. Q. Al-Omari
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/790161
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author S. K. Q. Al-Omari
author_facet S. K. Q. Al-Omari
author_sort S. K. Q. Al-Omari
collection DOAJ
description We investigate the Hartley-Hilbert and Fourier-Hilbert transforms on a quotient space of Boehmians. The investigated transforms are well-defined and linear mappings in the space of Boehmians. Further properties are also obtained.
format Article
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institution Kabale University
issn 2314-4629
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language English
publishDate 2014-01-01
publisher Wiley
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series Journal of Mathematics
spelling doaj-art-f229913643054429b8927bd390f830462025-02-03T01:09:36ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/790161790161Some Definition of Hartley-Hilbert and Fourier-Hilbert Transforms in a Quotient Space of BoehmiansS. K. Q. Al-Omari0Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa’ Applied University, Amman 11134, JordanWe investigate the Hartley-Hilbert and Fourier-Hilbert transforms on a quotient space of Boehmians. The investigated transforms are well-defined and linear mappings in the space of Boehmians. Further properties are also obtained.http://dx.doi.org/10.1155/2014/790161
spellingShingle S. K. Q. Al-Omari
Some Definition of Hartley-Hilbert and Fourier-Hilbert Transforms in a Quotient Space of Boehmians
Journal of Mathematics
title Some Definition of Hartley-Hilbert and Fourier-Hilbert Transforms in a Quotient Space of Boehmians
title_full Some Definition of Hartley-Hilbert and Fourier-Hilbert Transforms in a Quotient Space of Boehmians
title_fullStr Some Definition of Hartley-Hilbert and Fourier-Hilbert Transforms in a Quotient Space of Boehmians
title_full_unstemmed Some Definition of Hartley-Hilbert and Fourier-Hilbert Transforms in a Quotient Space of Boehmians
title_short Some Definition of Hartley-Hilbert and Fourier-Hilbert Transforms in a Quotient Space of Boehmians
title_sort some definition of hartley hilbert and fourier hilbert transforms in a quotient space of boehmians
url http://dx.doi.org/10.1155/2014/790161
work_keys_str_mv AT skqalomari somedefinitionofhartleyhilbertandfourierhilberttransformsinaquotientspaceofboehmians