34 citations · 40 across the 5 of their papers we have counts for
5 papers
On Parametrization of Compact Wavelet Matrices
Lasha Ephremidze, Gigla Janashia, Edem Lagvilava
It is given an efficient complete parametrization of wavelet matrices of rank , genus , and degree , which are naturally identified with corresponding polynomial parauni…
Fractional, Maximal and Singular Operators in Variable Exponent Lorentz Spaces
Lasha Ephremidze, Vakhtang Kokilashvili, Stefan Samko
We introduce the Lorentz space with variable exponents and prove the boundedness of singular integral and fractional type operators,…
On the estimation of the convergence rate in the Janashia-Lagvilava spectral factorization algorithm
Lasha Ephremidze, Nobuhiko Fujii
In the present paper, we estimate the convergence rate in the Janashia-Lagvilava spectral factorization algorithm (see Studia Mathematica, 137, 1999, 93-100) under the restriction…
An Analytic Proof of the Matrix Spectral Factorization Theorem
L. Ephremidze, G. Janshia, E. Lagvilava
An analytic proof is proposed of Wiener's theorem on factorization of positive definite matrix-functions.
A simple proof of the matrix-valued Fejér-Riesz theorem
L. Ephremidze, G. Janashia, E. Lagvilava
A very short proof of the Fejér-Riesz lemma is presented in the matrix case