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ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS

E. L. Shishkina

Проблемы анализа · 2016

doi:10.15393/j3.art.2016.3390 (opens in a new tab)

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Abstract

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.

Abstract licence: CC BY-NC

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