Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Relations of k-th derivative of dirac delta in hypercone with ultrahyperbolic operator
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Keywords

distributions
generalized functions
distributions spaces
properties of distributions
Distribuciones
funciones generalizadas
espacios de distribuciones
propiedades de distribuciones

How to Cite

Aguirre T., M. A. (1999). Relations of k-th derivative of dirac delta in hypercone with ultrahyperbolic operator. Revista De Matemática: Teoría Y Aplicaciones, 6(2), 87–96. https://doi.org/10.15517/rmta.v6i2.170

Abstract

In this paper we prove that the generalized functions d (k) (P+) - d (k) (P), d (k) (P-)-d (k) (-P) and d 1 (k) (P)-d 2 (k) (P)d are concentrated in the vertex of the cone P=0 and we find their relationship with the ultrahyperbolic operator iterated (k +1 -n/2 ) times under condition k ³ n/2-1.


https://doi.org/10.15517/rmta.v6i2.170
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