English

Weighted spherical means generated by generalized translation and general Euler-Poisson-Darboux equation

Classical Analysis and ODEs 2017-03-21 v1

Abstract

We consider the spherical mean generated by a multidimensional generalized translation and general Euler-Poisson-Darboux equation corresponding to this mean. The Asgeirsson property of solutions of the ultrahyperbolic equation that includes singular differential Bessel operators acting by each variable is provided.

Cite

@article{arxiv.1703.06340,
  title  = {Weighted spherical means generated by generalized translation and general Euler-Poisson-Darboux equation},
  author = {Elina Shishkina},
  journal= {arXiv preprint arXiv:1703.06340},
  year   = {2017}
}

Comments

in Russian

R2 v1 2026-06-22T18:49:43.202Z