English

On weighted generalized functions associated with quadratic forms

Classical Analysis and ODEs 2016-12-26 v1

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.

Keywords

Cite

@article{arxiv.1612.07907,
  title  = {On weighted generalized functions associated with quadratic forms},
  author = {E. L. Shishkina},
  journal= {arXiv preprint arXiv:1612.07907},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-22T17:33:10.612Z