Oscillatory Riemann-Hilbert problems and the corona theorem.

DOI10.1016/S0022-1236(03)00007-7zbMath1047.47014MaRDI QIDQ1869054

Yuri I. Karlovich, António F. dos Santos, Maria Amelia Bastos

Publication date: 9 April 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert problemcorona theoremgeneralized (bounded) canonical factorization

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Positive definite functions in one variable harmonic analysis (42A82)

Related Items

Polynomial almost periodic solutions for a class of Riemann-Hilbert problems with triangular symbols ⋮ Classes of convolution type operators on unions of bounded intervals ⋮ Spectral properties of truncated Toeplitz operators by equivalence after extension ⋮ Invertibility of Toeplitz operators and corona conditions in a strip ⋮ A new approach to factorization of a class of almost-periodic triangular symbols and related Riemann--Hilbert problems ⋮ Fredholmness of Toeplitz operators and corona problems ⋮ Wiener-Hopf factorization of a class of matrix functions and Corona theorem ⋮ The invertibility of convolution type operators on a union of intervals and the corona theorem ⋮ New results on the invertibility of the finite interval convolution operator

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