English

Oversampling and undersampling in de Branges spaces arising from regular Schr\"odinger operators

Mathematical Physics 2018-11-07 v3 math.MP

Abstract

The classical results on oversampling and undersampling (or aliasing), of functions in Paley-Wiener spaces, are generalized to the case of functions in de Branges spaces arising from regular Schr\"odinger operators with a wide range of potentials.

Keywords

Cite

@article{arxiv.1804.05888,
  title  = {Oversampling and undersampling in de Branges spaces arising from regular Schr\"odinger operators},
  author = {Luis O. Silva and Julio H. Toloza and Alfredo Uribe},
  journal= {arXiv preprint arXiv:1804.05888},
  year   = {2018}
}

Comments

24 pages, no figures. Some typographical errors corrected

R2 v1 2026-06-23T01:25:28.564Z