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Sobre la inversión de los potenciales de Bessel-Riesz

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Author(s): R. Cerutti

Journal: Nexo
ISSN 1818-6742

Volume: 23;
Issue: 02;
Start page: 62;
Date: 2010;
Original page

Keywords: Riesz potential | hypersingular integral

ABSTRACT
In this paper the inversion of a convolution type operator is obtained by using hypersingular integral technics. The Bessel-Riesz operator of a function belonging to , the space of test functions of Schwartz, is definied by the convolution with the generalized functions expressible in terms of the Bessel function of first kind . is also an infinite linear combination of the ultrahyperbolic Riesz kernel of differents orders. This fact allows us to invert the Bessel-Riesz potential in an analogue manner of the ultrahyperbolic Bessel potentials (cf. [01]) and causal Riesz potentials (cf. [2]).
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