Geodesic
On weighted generalized functions associated with quadratic forms
Problemy analiza, Tome 5 (2016) no. 2, pp. 52-68

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated ultra-hyperbolic equations with the Bessel operator and for constructing negative real powers of ultra-hyperbolic operators with the Bessel operator.
Keywords: weighted generalized function; quadratic form; ultra-hyperbolic operator; Bessel operator. 
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     author = {E. L. Shishkina},
     title = {On weighted generalized functions associated with quadratic forms},
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E. L. Shishkina. On weighted generalized functions associated with quadratic forms. Problemy analiza, Tome 5 (2016) no. 2, pp. 52-68. http://geodesic.mathdoc.fr/item/PA_2016_5_2_a4/