Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation

DOI10.1090/memo/0762zbMath1017.47014OpenAlexW2036521819MaRDI QIDQ4791662

Hugo J. Woerdeman, Ilya M. Spitkovskij, Leiba Rodman

Publication date: 30 January 2003

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0762

zbMATH Keywords

maximum entropyWiener algebrasToeplitz algebrasextension problemsWiener classesBesikovitch spacesabstract band method

Mathematics Subject Classification ID

General second-order stochastic processes (60G12) Estimation and detection in stochastic control theory (93E10) Classical almost periodic functions, mean periodic functions (42A75) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operator methods in interpolation, moment and extension problems (47A57) Positive definite functions in one variable harmonic analysis (42A82) Matrices over function rings in one or more variables (15A54)

Related Items (6)

Semi-infinite multi-index perturbed block Toeplitz systems ⋮ Spectral factorization of bi-infinite multi-index block Toeplitz matrices ⋮ Factorization of matrix functions with subgroup supported Fourier coefficients ⋮ Algebras of almost periodic functions with Bohr-Fourier spectrum in a semigroup: Hermite property and its applications ⋮ Nehari and Carathéodory-Fejér type extension results for operator-valued functions on groups ⋮ A Grassmannian band method approach to the Nehari--Takagi problem

This page was built for publication: Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation