Unified Treatment of the Krätzel Transformation for Generalized Functions

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 trans...

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Bibliographic Details
Main Authors: S. K. Q. Al-Omari, A. Kılıçman
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/750524