# IJPAM: Volume 72, No. 3 (2011)

ELEMENTAL SOLUTIONS OF THE OPERATOR AND
THE DISTRIBUTIONAL PRODUCT BETEWEEN
AND

Manuel A. Aguirre T.
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).

AMS Subject Classification: 46F10, 46F12

Key Words and Phrases: theory of distributions, distributional product