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Localization of trigonometric polynomials and the Lev-Tselishchev lemma (2507.01521v1)
Published 2 Jul 2025 in math.CA
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 (\mathbb R) $ for $ p > ( 1 + \sqrt 5 )/2 $, is not carried over to small $p$.
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