English

The truncated Fourier Operator. IV

Classical Analysis and ODEs 2009-03-24 v1 Spectral Theory

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-operator differential operator which commutes with the Fourier operator truncated on the considered finite symmetric interval.

Keywords

Cite

@article{arxiv.0903.3660,
  title  = {The truncated Fourier Operator. IV},
  author = {V. Katsnelson and R. Machluf},
  journal= {arXiv preprint arXiv:0903.3660},
  year   = {2009}
}

Comments

34 pages

R2 v1 2026-06-21T12:42:58.160Z