Ideals and Invariant Subspaces of Analytic Functions

DOI10.2307/1994041zbMath0147.11502OpenAlexW4230300089MaRDI QIDQ5524749

Unnamed Author

Publication date: 1964

Full work available at URL: https://doi.org/10.2307/1994041

zbMATH Keywords

functional analysis

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Simply invariant subspaces of \(H^2\) of some multiply connected regions, Inner and Outer Functions on Riemann Surfaces, 𝜆-lemma for families of Riemann surfaces and the critical loci of complex Hénon maps, Reductivity and bundle shifts, de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem, The kernel functions of Szegö type on Riemann surfaces, The work of Pavlov on shift operators on a Riemann surface, Invariant subspaces of Hardy classes on infinitely connected plane domains, Invariant Subspaces on Riemann Surfaces of Parreau-Widom Type, The Closed Ideals in a Function Algebra, Indefinite Hardy spaces on finite bordered Riemann surfaces, A class of subnormal operators related to multiply-connected domains, Real separated algebraic curves, quadrature domains, Ahlfors type functions and operator theory, Invariant subspaces in the theory of operators and theory of functions, Curvature inequalities for operators in the Cowen-Douglas class of a planar domain, The \(H^ p\) spaces of a class of function algebras, On the angles between subspaces, the Muckenhoupt condition, and projection from one co-invariant subspace onto another in the theory of character-automorphic Hardy spaces on a multiply connected domain, Theory of abstract Hardy spaces and the universal Hardy class, Curvature inequalities and extremal operators, On the concept of inner function in Hardy and Bergman spaces in multiply connected domains, Ideal theory on non-orientable Klein surfaces, Analytic Toeplitz Operators with Automorphic Symbol, Invariant subspaces on open Riemann surfaces, Complex interpolation spaces on multiply-connected domains

Cites Work

• A converse of Cauchy's theorem and applications to extremal problems
• The boundary values of analytic and harmonic functions
• On two problems concerning linear transformations in Hilbert space
• The Closed Ideals in an Algebra of Analytic Functions
• Analytic Functions of Class H p
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