The Commutant of an Analytic Toeplitz Operator
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Publication:4172517
DOI10.2307/1997846zbMath0391.47014OpenAlexW4253879271MaRDI QIDQ4172517
Publication date: 1978
Full work available at URL: https://doi.org/10.2307/1997846
Compact OperatorsInner FunctionBlaschke ProductCommutantAlgebra OperatorsAnalytic Toeplitz OperatorAssociated Riemannian SurfaceCovering MapsH2-Ancestral Function
Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- A theorem on entire functions with applications to Toeplitz operators
- Subordinate \(H^ P\) functions
- Analytic Toeplitz Operators with Automorphic Symbol
- Intersections of Commutants of Analytic Toeplitz Operators
- The Commutants of Certain Analytic Toeplitz Operators
- Analytic Toeplitz Operators with Automorphic Symbol.II
- The Commutant of a Class of Analytic Toeplitz Operators
- The Commutant of Analytic Toeplitz Operators
- Bounded Holomorphic Functions on Finite Riemann Surfaces
- Composition Operators
- A Generalization of a Theorem of Frostman.
- On Some Interpolation Problems for Analytic Functions
