# IJPAM: Volume 64, No. 3 (2010)

THE FOURIER TRANSFORM OF

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

Abstract.Let be a quadratic form defined by (). In this paper we give a sense to Fourier transform of and , where is a complex number and

As consequence we obtain the Fourier transform of the distributions family defined by ().

Our results (cf. formulae () and ()) are a generalization of the Fourier transform of distributions , which appears in [#!G!#], p. 284.