On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces

We investigate the Krätzel transform on certain class of generalized functions. We propose operations that lead to the construction of desired spaces of generalized functions. The Krätzel transform is extended and some of its properties are obtained.

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Bibliographic Details
Main Authors: S. K. Q. Al-Omari, Adem Kılıçman
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/841585
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author S. K. Q. Al-Omari
Adem Kılıçman
author_facet S. K. Q. Al-Omari
Adem Kılıçman
author_sort S. K. Q. Al-Omari
collection DOAJ
description We investigate the Krätzel transform on certain class of generalized functions. We propose operations that lead to the construction of desired spaces of generalized functions. The Krätzel transform is extended and some of its properties are obtained.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-49816bddbcd74fc4afc87bf4115c3b5f2025-02-03T07:26:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/841585841585On the Generalized Krätzel Transform and Its Extension to Bohemian SpacesS. K. Q. Al-Omari0Adem Kılıçman1Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11134, JordanDepartment of Mathematics and Institute of Mathematical Research, University of Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaWe investigate the Krätzel transform on certain class of generalized functions. We propose operations that lead to the construction of desired spaces of generalized functions. The Krätzel transform is extended and some of its properties are obtained.http://dx.doi.org/10.1155/2013/841585
spellingShingle S. K. Q. Al-Omari
Adem Kılıçman
On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces
Abstract and Applied Analysis
title On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces
title_full On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces
title_fullStr On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces
title_full_unstemmed On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces
title_short On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces
title_sort on the generalized kratzel transform and its extension to bohemian spaces
url http://dx.doi.org/10.1155/2013/841585
work_keys_str_mv AT skqalomari onthegeneralizedkratzeltransformanditsextensiontobohemianspaces
AT ademkılıcman onthegeneralizedkratzeltransformanditsextensiontobohemianspaces