Localization of trigonometric polynomials and the Lev-Tselishchev lemma

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) for p > ( 1 + 5 )/2 , is not carried over to small p.

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