Characterization of Hankel transformable generalized functions

Author:

Betancor J. J.1

Affiliation:

1. Departamento de Análisis Matemático, Faciltad de Matemáticas, Universidad de La Laguna, Teneriffe, Canary Islands, La Laguna, Spain

Abstract

In this paper we prove a characterization theorem for the elements of the spaceHμof generalized functions defined by A. H. Zemanian.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Duals of Gelfand-Shilov spaces of type $ K\{M_p\} $ for the Hankel transformation;AIMS Mathematics;2024

2. Pseudo-differential operator related to Hankel transform on Gelfand–Shilov spaces of type W;Advances in Operator Theory;2021-04-27

3. Bootstrapping Weighted Inequalities for Hankel Transform;Journal of Function Spaces and Applications;2012

4. A Class of Integral Operators and Bessel Plancherel Transform on;Journal of Function Spaces and Applications;2012

5. Distributional Chébli–Trimèche transforms;Journal of Mathematical Analysis and Applications;2006-01

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