On the convolution product of the distributional families related to the diamond operator

In this paper, we introduce a distributional family <em>K_{α,β}</em> which is related to the Diamond operator <em>♦^k</em> iterated<em> k</em>-times. At first we study the properties of <em>K_{α,β}</em> and then we give a sense to the convolution produ...

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Bibliographic Details
Main Authors: Manuel A. Aguirre Tellez, A. Kananthai
Format: Article
Language:English
Published: Università degli Studi di Catania 2002-05-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/196
Description
Summary:In this paper, we introduce a distributional family <em>K_{α,β}</em> which is related to the Diamond operator <em>♦^k</em> iterated<em> k</em>-times. At first we study the properties of <em>K_{α,β}</em> and then we give a sense to the convolution product of <em>K_{α,β}∗</em> <em>K_{α',β'}</em> .<br />
ISSN:0373-3505
2037-5298