P. Terekhin

activity

20172020

collaborators

4 papers

math.FA2020

Sequences of dilations and translations equivalent to the Haar system in $L^{p}$ -spaces

Sergey V. Astashkin, Pavel A. Terekhin

Let $f = \sum_{k = 0}^{\infty} c_{k} h_{2^{k}}$ , where ${h_{n}}$ is the classical Haar system, $c_{k} \in C$ . Given a $p \in (1, \infty)$ , we find the sharp conditions, under which the se…

math.FA2019

Representing systems of dilations and translations in symmetric spaces

Sergey V. Astashkin, Pavel A. Terekhin

Let $X$ be an arbitrary separable symmetric space on $[0, 1]$ . By using a combination of the frame approach and the notion of the multiplicator space $M (X)$ of $X$ with re…

math.FA2018

A representing system generated by the Szegö kernel for the Hardy space

Konstantin S. Speransky, Pavel A. Terekhin

In this paper we give an explicit construction of a representing system generated by the Szegö kernel for the Hardy space. Thus we answer an open question posed by Fricain, Khoi an…

math.FA2017

Riesz Bounds of Spline Affine Systems

S. A. Chumachenko, S. F. Lukomskii, P. A. Terekhin

We construct a family of spline affine Riesz bases, i.e. sequences of dilations and translations generated by the special spline functions $ψ_{m}$ , and we prove that their Riesz boun…

Sequences of dilations and translations equivalent to the Haar system in Lp-spaces

Representing systems of dilations and translations in symmetric spaces

A representing system generated by the Szegö kernel for the Hardy space

Riesz Bounds of Spline Affine Systems

Sequences of dilations and translations equivalent to the Haar system in $L^{p}$ -spaces