3 citations · 5 across the 8 of their papers we have counts for
10 papers
Walsh Analysis in the Twenty-First Century: Convergence, Summability, Nonlinear Approximation, Universality, and Digital Applications
Sergo A. Episkoposian
Walsh analysis connects ordered Fourier convergence, summability, nonlinear approximation, and universal representation through a common character algebra. This survey examines dev…
Diagonal and branchwise criteria for universal Fourier series
Sergo A. Episkoposian
We characterize diagonal profiles admitting universal real trigonometric Fourier series with factors in and , , $1\le…
Compactness and Spectral Properties of Multiplier Operators in the Walsh System
Michael Ruzhansky, Sergo A. Episkoposian, Rafik Yeghoyan
We investigate compactness and spectral properties of multiplier operators associated with the Walsh system in the spaces , . Building upon previously establi…
On the divergence of greedy algorithms with respect to Walsh subsystems in
Sergo A. Episkoposian
In this paper we prove that there exists a function which belongs to such that a greedy algorithm with regard to the Walsh subsystem does not converge to i…
Existence of double Walsh series universal in weighted spaces
Sergo A. Episkoposian
In this paper we consider a question on existence of double Walsh series universal in weighted spaces. We construct a weighted function and a series by doub…
Universal series by trigonometric system in weighted spaces
Sergo A. Episkoposian
In this paper we consider the question of existence of trigonometric series universal in weighted spaces with respect to rearrangements and in usual sense.
- convergence of greedy algorithm by generalized Walsh system
Sergo A. Episkoposian
In this paper we consider the generalized Walsh system and a problem of greedy algorithm of functions after changing the values on small set.
Universality properties of double series by generalized Walsh system
S. A. Episkoposian
In this paper we consider a question on existence of double series by generalized Walsh system, which are universal in weighted spaces. In particular, we construct a…
On greedy algorithms with respect to generalized Walsh system
Sergo A. Episkoposian
In this paper we proof that there exists a function f(x) belongs to L^1[0,1] such that a greedy algorithm with regard to generalized Walsh system does not converge to f(x) in L^1[0…
On the existence of universal series by trigonometric system
Sergo A. Episkoposian
In this paper we prove the following: let be a continuous function, increasing in and . Then there exists a series of the form$\sum_{k=-\infty}^\infty…