Anton Tselishchev

activity

20232026

most citedThere are no unconditional Schauder frames of translates in

L^{p} (R)

1 \leq p \leq 2

4 citations · 4 across the 11 of their papers we have counts for

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2 papers · 1 filter

math.CA2023

Schauder frames of discrete translates in $L^{2} (R)$

Nir Lev, Anton Tselishchev

We construct a uniformly discrete sequence ${λ_{1} < λ_{2} < \dots} \subset R$ and functions $g$ and ${g_{n}^{*}}$ in $L^{2} (R)$ , such that every $f \in L^2(\mathbb{R}…

math.CA2023★ 4 cited

There are no unconditional Schauder frames of translates in $L^{p} (R)$ , $1 \leq p \leq 2$

Nir Lev, Anton Tselishchev

It is known that a system formed by translates of a single function cannot be an unconditional Schauder basis in the space $L^{p} (R)$ for any $1 \leq p < \infty$ . To the cont…

Schauder frames of discrete translates in L2(R)

There are no unconditional Schauder frames of translates in Lp(R), 1≤p≤2

Schauder frames of discrete translates in $L^{2} (R)$

There are no unconditional Schauder frames of translates in $L^{p} (R)$ , $1 \leq p \leq 2$