Unified Treatment of the Kratzel Transformation for Generalized Functions

作者:Al Omari S K Q; Kilicman A*
来源:Abstract and Applied Analysis, 2013, 2013: 750524.
DOI:10.1155/2013/750524

摘要

We discuss a generalization of the Kratzel transforms on certain spaces of ultradistributions. We have proved that the Kratzel transform of an ultradifferentiable function is an ultradifferentiable function and satisfies its Parseval%26apos;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.

  • 出版日期2013