English

Bernstein spaces, sampling, and Riesz-Boas interpolation formulas in Mellin Analysis

Classical Analysis and ODEs 2021-11-30 v1

Abstract

The goal of the paper is to consider Bernstein-Mellin subspaces in the Lebesgue-Mellin spaces and establishing for functions in these subspaces new sampling theorems and Riesz-Boas high-order interpolation formulas.

Keywords

Cite

@article{arxiv.2111.14029,
  title  = {Bernstein spaces, sampling, and Riesz-Boas interpolation formulas in Mellin Analysis},
  author = {Isaac Z. Pesenson},
  journal= {arXiv preprint arXiv:2111.14029},
  year   = {2021}
}
R2 v1 2026-06-24T07:54:26.350Z