Zobrazeno 1 - 10
of 460
pro vyhledávání: '"Tselishchev, A."'
Autor:
Tselishchev, Anton
For any sequence of positive numbers $(\varepsilon_n)_{n=1}^\infty$ such that $\sum_{n=1}^\infty \varepsilon_n = \infty$ we provide an explicit simple construction of $(1+\varepsilon_n)$-bounded Markushevich basis in a separable Hilbert space which i
Externí odkaz:
http://arxiv.org/abs/2406.16467
Autor:
Lev, Nir, Tselishchev, Anton
For every $p > (1 + \sqrt{5})/2$ we construct a uniformly discrete real sequence $\{\lambda_n\}_{n=1}^\infty$ ordered by increasing modulus, a function $g \in L^p(\mathbb{R})$, and continuous linear functionals $\{g^*_n\}_{n=1}^\infty$ on $L^p(\mathb
Externí odkaz:
http://arxiv.org/abs/2402.09915
Autor:
Lev, Nir, Tselishchev, Anton
We construct a uniformly discrete sequence $\{\lambda_1 < \lambda_2 < \cdots\} \subset \mathbb{R}$ and functions $g$ and $\{g_n^*\}$ in $L^2(\mathbb{R})$, such that every $f \in L^2(\mathbb{R})$ admits a series expansion \[ f(x) = \sum_{n=1}^{\infty}
Externí odkaz:
http://arxiv.org/abs/2312.11039
Autor:
Lev, Nir, Tselishchev, Anton
It is known that a system formed by translates of a single function cannot be an unconditional Schauder basis in the space $L^p(\mathbb{R})$ for any $1 \le p < \infty$. To the contrary, there do exist unconditional Schauder frames of translates in $L
Externí odkaz:
http://arxiv.org/abs/2312.01757
We consider weakly null sequences in the Banach space of functions of bounded variation $\mathrm{BV}(\mathbb{R}^d)$. We prove that for any such sequence $\{f_n\}$ the jump parts of the gradients of functions $f_n$ tend to $0$ strongly as measures. It
Externí odkaz:
http://arxiv.org/abs/2307.08396
Autor:
Tselishchev, Anton
In this paper we study the following problem: for a given bounded positive function $f$ on a filtered probability space can we find another function (a multiplier) $m$, $0\le m\le 1$, such that the function $mf$ is not ``too small'' but its square fu
Externí odkaz:
http://arxiv.org/abs/2303.08041
Autor:
Tselishchev, Anton
Rubio de Francia proved the one-sided version of Littlewood--Paley inequality for arbitrary intervals. In this paper, we prove the similar inequality in the context of arbitrary Vilenkin systems.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/2207.05035
Autor:
Logvaneva, Maria, Tselishchev, Mikhail
We propose a definition of diversification as a binary relationship between financial portfolios. According to it, a convex linear combination of several risk positions with some weights is considered to be less risky than the probabilistic mixture o
Externí odkaz:
http://arxiv.org/abs/2204.01284
Autor:
Tselishchev, Anton
Publikováno v:
Zap. nauchn. sem. POMI, 503 (2021), 137--153
J. L. Rubio de Francia proved the one-sided Littlewood--Paley inequality for arbitrary intervals in $L^p$, $2\le p<\infty$ and later N. N. Osipov proved the similar inequality for Walsh functions. In this paper we investigate some properties of Banac
Externí odkaz:
http://arxiv.org/abs/2111.07084