IJPAM: Volume 72, No. 3 (2011)
THE DISTRIBUTIONAL PRODUCT BETEWEEN
Núcleo Consolidado Matemática Pura y Aplicada
Facultad de Ciencias Exactas
UNCentro, Pinto 399, 7000m, Tandil, ARGENTINA
Abstract. The object of this paper is obtain elemental solutions of the operator and give a sense to distribution products between and where is the operator defined by() and is the dimensional ultrahyperbolic operator iterated -times defined by the formula (). As consequence our formulae() is a genralization of the formula
which appear in (see [#!S!#], p. 47) where is defined by( )and by (). Our product
generalizes of the product given by Li Chen Kuan in (see [#!C!#], p. 346).
Received: February 2, 2011
AMS Subject Classification: 46F10, 46F12
Key Words and Phrases: theory of distributions, distributional product
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395