Compatibility Conditions and the Convolution of Functions and Generalized Functions-Reference-Cited by-同舟云学术

Compatibility Conditions and the Convolution of Functions and Generalized Functions

Published:2013 Issue: Volume:2013 Page:1-11
ISSN:0972-6802
Container-title:Journal of Function Spaces and Applications
language:en
Short-container-title:Journal of Function Spaces and Applications

Author:

Kamiński Andrzej¹,Mincheva-Kaminska Svetlana¹

Affiliation:

1. Faculty of Mathematics and Natural Sciences, University of Rzeszów, Profesora Pigonia 1, 35-310 Rzeszów, Poland

Abstract

The paper is a review of certain existence theorems concerning the convolution of functions, distributions, and ultradistributions of Beurling type with supports satisfying suitable compatibility conditions. The fact that some conditions are essential for the existence of the convolution in the discussed spaces follows from earlier results and the proofs given at the end of this paper.

Funder

Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2013/356724.pdf

Reference75 articles.

1. Analytical Methods and Special Functions,2002

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