On approximate spectral factorization of matrix functions

DOI10.1007/S00041-010-9167-9zbMath1251.47020arXiv0909.5361OpenAlexW1969030037MaRDI QIDQ650090

Lasha Ephremidze, Gigla Janashia, Edem Lagvilava

Publication date: 25 November 2011

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.5361

zbMATH Keywords

spectral factorizationmatrix functions

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)

Related Items (13)

Rank-deficient spectral factorization and wavelets completion problem ⋮ Quantitative results on continuity of the spectral factorization mapping in the scalar case ⋮ On the generalization of the Janashia-Lagvilava method for arbitrary fields ⋮ On multivariable matrix spectral factorization method ⋮ Quantitative results on continuity of the spectral factorization mapping ⋮ An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients ⋮ Matrix spectral factorization and wavelets ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On compact wavelet matrices of rank \(m\) and of order and degree \(N\) ⋮ Unnamed Item

Cites Work

• The prediction theory of multivariate stochastic processes. I. The regularity condition. - II. The linear predictor
• Prediction theory and Fourier series in several variables
• A simple proof of the matrix-valued Fejér--Riesz theorem
• The approximate factorization of positive-definite matrix functions
• CONTINUITY OF THE SPECTRAL FACTORIZATION MAPPING
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