English

Localization of trigonometric polynomials and the Lev-Tselishchev lemma

Classical Analysis and ODEs 2025-07-10 v3

Abstract

The paper shows that the localization lemma used by N. Lev and A. Tselishchev in solving the problem of constructing quasi-bases from uniformly separated shifts of a function in the space Lp(R)L^p (\mathbb R) for p>(1+5)/2 p > ( 1 + \sqrt 5 )/2 , is not carried over to small pp.

Keywords

Cite

@article{arxiv.2507.01521,
  title  = {Localization of trigonometric polynomials and the Lev-Tselishchev lemma},
  author = {I. Bochkov},
  journal= {arXiv preprint arXiv:2507.01521},
  year   = {2025}
}