3 citations · 8 across the 7 of their papers we have counts for
4 papers · 1 filter
Spectral Factorization of Rank-Deficient Polynomial Matrix-Functions
Lasha Ephremidze, Edem Lagvilava
A spectral factorization theorem is proved for polynomial rank-deficient matrix-functions. The theorem is used to construct paraunitary matrix-functions with first rows given.
A New Method of Matrix Spectral Factorization
Gigla Janashia, Edem Lagvilava, Lasha Ephremidze
A new method of matrix spectral factorization is proposed which reliably computes an approximate spectral factor of any matrix spectral density that admits spectral factorization
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