English

Self-adjoint boundary conditions for the prolate spheroid differential operator

Functional Analysis 2016-03-25 v1

Abstract

We consider the formal prolate spheroid differential operator on a finite symmetric interval and describe all its self-adjoint boundary conditions. Only one of these boundary conditions corresponds to a self-adjoint differential operator which commute with the Fourier operator truncated on the considered finite symmetric interval.

Keywords

Cite

@article{arxiv.1603.07542,
  title  = {Self-adjoint boundary conditions for the prolate spheroid differential operator},
  author = {Victor Katsnelson},
  journal= {arXiv preprint arXiv:1603.07542},
  year   = {2016}
}

Comments

10 pages

R2 v1 2026-06-22T13:17:53.042Z