The invertibility of convolution type operators on a union of intervals and the corona theorem

DOI10.1007/BF01203021zbMath0995.45004OpenAlexW2020188779MaRDI QIDQ5956227

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

Publication date: 23 October 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203021

zbMATH Keywords

invertibilityconvolution type operatorsinverse operatorsRiemann-Hilbert problemscorona problems

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (1)

Classes of convolution type operators on unions of bounded intervals

Cites Work

• The corona theorem and the existence of canonical factorization of triangular AP-matrix functions
• On the inversion of higher order Wiener-Hopf operators
• Wiener-Hopf operators with oscillating symbols and convolution operators on a union of intervals
• Oscillatory Riemann-Hilbert problems and the corona theorem.
• FACTORIZATION OF ALMOST PERIODIC MATRIX-VALUED FUNCTIONS AND THE NOETHER THEORY FOR CERTAIN CLASSES OF EQUATIONS OF CONVOLUTION TYPE
• A GENERALIZATION OF THE WIENER-HOPF METHOD FOR CONVOLUTION EQUATIONS ON A FINITE INTERVAL WITH SYMBOLS HAVING POWER-LIKE ASYMPTOTICS AT INFINITY
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