# IJPAM: Volume 58, No. 4 (2010)

RELATIONS BETWEEN THE ULTRAHYPERBOLIC
OPERATOR AND -TH DERIVATIVE OF
DIRAC'S DELTA IN AND

Manuel A. Aguirre
Pinto 399, Tandil, Provincia de Buenos Aires, 7000, ARGENTINA
e-mail: maguirre@exa.unicen.edu.ar

Abstract.In this article we obtain formulae between the operator ultrahyperbolic iterated times defined by () and the -th derivative of Dirac's delta defined in and In particular we obtain that is homogeneous solution of the ultrahyperbolic operator iterated times if and defined in (23) is elementary solution of ultrahyperbolic operator iterated times. By putting in (18) we have that is homogeneous solution of the ultrahyperbolic operator if