1 citations · 2 across the 5 of their papers we have counts for
6 papers
Generalized Fourier series by double trigonometric system
K. S. Kazarian
Necessary and sufficient conditions are obtained on the function such that is complete and minimal in when $Ω…
A uniformly bounded complete Euclidean system
K. S. Kazarian
A uniformly bounded complete orthonormal system of functions is constructed such that $\sum_{n=1}^{\infty} a_{n}…
On the orthogonal democratic systems in the spaces
K. S. Kazarian, A. San Antolin
The concept of bidemocratic pair for a Banach space was introduced in \cite{KS:18}. We construct a family of orthonormal systems of functions…
On the structure of finitely generated shift-invariant subspaces
K. S. Kazarian
A characterization of finitely generated shift-invariant subspaces is given when generators are g-minimal. An algorithm is given for the determination of the coefficients in the we…
Wavelets in weighted norm spaces
Kazaros S. Kazarian, Samvel S. Kazaryan, Ángel San-Antolín
We give a complete characterization of the classes of weight functions for which the Haar wavelet system for -dilations, is an unconditional basis in $L^p(\mathb…
Generalized Fourier series and shift-invariant subspaces
K. S. Kazarian
A principal shift invariant subspace of $L^{2}(\IR)$ is isometric to a weighted norm space $L^{2}(\IT, w)$. Using results obtained earlier by the author on the basis properties of…