Anton Tselishchev

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math.CA2025

Unconditional Schauder frames of exponentials and of uniformly bounded functions in $L^{p}$ spaces

Nir Lev, Anton Tselishchev

It is known that there is no unconditional basis of exponentials in the space $L^{p} (Ω)$ , $p \neq = 2$ , for any set $Ω \subset R^{d}$ of finite measure. This is a consequence of a…

math.CA2025

Completeness of sparse, almost integer and finite local complexity sequences of translates in $L^{p} (R)$

Nir Lev, Anton Tselishchev

A real sequence $Λ = {λ_{n}}_{n = 1}^{\infty}$ is called $p$ -generating if there exists a function $g$ whose translates ${g (x - λ_{n})}_{n = 1}^{\infty}$ span the space $L^{p} (R)$ . Whi…

Unconditional Schauder frames of exponentials and of uniformly bounded functions in Lp spaces

Completeness of sparse, almost integer and finite local complexity sequences of translates in Lp(R)

Unconditional Schauder frames of exponentials and of uniformly bounded functions in $L^{p}$ spaces

Completeness of sparse, almost integer and finite local complexity sequences of translates in $L^{p} (R)$