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Unified Treatment of the Krätzel Transformation for Generalized Functions
Joint Authors
al-Omari, S. K. Q.
Kiliçman, Adem
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We discuss a generalization of the Krätzel transforms on certain spaces of ultradistributions.
We have proved that the Krätzel transform of an ultradifferentiable function is an ultradifferentiable function and satisfies its Parseval's inequality.
We also provide a complete reading of the transform constructing two desired spaces of Boehmians.
Some other properties of convergence and continuity conditions and its inverse are also discussed in some detail.
American Psychological Association (APA)
al-Omari, S. K. Q.& Kiliçman, Adem. 2013. Unified Treatment of the Krätzel Transformation for Generalized Functions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-495782
Modern Language Association (MLA)
al-Omari, S. K. Q.& Kiliçman, Adem. Unified Treatment of the Krätzel Transformation for Generalized Functions. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-495782
American Medical Association (AMA)
al-Omari, S. K. Q.& Kiliçman, Adem. Unified Treatment of the Krätzel Transformation for Generalized Functions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-495782
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495782