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arXiv · 1612.07907

On weighted generalized functions associated with quadratic forms

E. L. Shishkina
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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 Bessel operator and for constructing negative real powers of ultra-hyperbolic operators with Bessel operator.

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E. L. Shishkina. 2016-12-23. On weighted generalized functions associated with quadratic forms. https://doi.org/10.15393/j3.art.2016.3390

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