English

Generalized spherical mean value operators on Euclidean space

Functional Analysis 2020-03-24 v1

Abstract

We consider the Neumann version of the spherical mean value operator and its variants in the space of smooth functions, distributions and compactly supported ones. Surjectivity and range characterization issues are addressed from the viewpoint of convolution equations.

Keywords

Cite

@article{arxiv.2003.10005,
  title  = {Generalized spherical mean value operators on Euclidean space},
  author = {Yasunori Okada and Hideshi Yamane},
  journal= {arXiv preprint arXiv:2003.10005},
  year   = {2020}
}

Comments

10 pages

R2 v1 2026-06-23T14:23:21.411Z