On approximate spectral factorization of matrix functions
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Publication:650090
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
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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