# IJPAM: Volume 77, No. 4 (2012)

A GENERALIZATION OF Y. NOZAKI AND
M. RIESZ'S ULTRAHYPERBOLIC KERNEL

Manuel A. Aguirre
Tandil, Provincia de Buenos Aires, ARGENTINA

Abstract. In this article, we introduce the distributional family defined by (). is a generalization of distributional family defined by (), due to Y. Nozaki and this is called in [#!T!#] the Marcel Riesz Ultrahyperbolic Kernel.

We obtain the formula and evaluate at for the cases: , , , ; , , , , , , , and and , , where is the operator defined by () and the constant is defined by ().

All the results are generalizations of Marcel Riesz ultrahyperbolic kernel and appear in [#!T!#] and [#!R!#].

AMS Subject Classification:

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