Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Preface; 1. Holomorphic spaces: a brief and selective survey Donald Sarason; 2. Recent progress in the function theory of the Bergman space Håkan Hedenmalm; 3. Harmonic Bergman spaces Karel Stroethoff; 4. An excursion into the theory of Hankel operators Vladimir V. Peller; 5. Hankel-type operators, Bourgain algebras and uniform algebras Pamela Gorkin; 6. Tight uniform algebras Scott Saccone; 7. Higher-order Hankel forms and commutators Richard Rochberg; 8. Function theory and operator theory on the Dirichlet space Zhijian Wu; 9. Some open problems in the theory of subnormal operators John B. Conway and Liming Yang; 10. Elements of spectral theory in terms of the free function model part I: basic constructions Nikolai Nikolski and Vasily Vasyunin; 11. Liftings of kernels shift-invariant in scattering systems Cora Sadosky; 12. Some function-theoretic issues in feedback stabilisation Nicholas Young; 13. The abstract interpolation problem Alexander Kheifets; 14. A basic interpolation problem Harry Dym; 15. Reproducing kernel Pontryagin spaces Daniel Alpay, Aad Dijksma, James Rovnyak and Hendrik S. V. de Snoo; 16. Commuting operators and function theory on a Riemann surface Victor Vinnikov.
Preface; 1. Holomorphic spaces: a brief and selective survey Donald Sarason; 2. Recent progress in the function theory of the Bergman space Håkan Hedenmalm; 3. Harmonic Bergman spaces Karel Stroethoff; 4. An excursion into the theory of Hankel operators Vladimir V. Peller; 5. Hankel-type operators, Bourgain algebras and uniform algebras Pamela Gorkin; 6. Tight uniform algebras Scott Saccone; 7. Higher-order Hankel forms and commutators Richard Rochberg; 8. Function theory and operator theory on the Dirichlet space Zhijian Wu; 9. Some open problems in the theory of subnormal operators John B. Conway and Liming Yang; 10. Elements of spectral theory in terms of the free function model part I: basic constructions Nikolai Nikolski and Vasily Vasyunin; 11. Liftings of kernels shift-invariant in scattering systems Cora Sadosky; 12. Some function-theoretic issues in feedback stabilisation Nicholas Young; 13. The abstract interpolation problem Alexander Kheifets; 14. A basic interpolation problem Harry Dym; 15. Reproducing kernel Pontryagin spaces Daniel Alpay, Aad Dijksma, James Rovnyak and Hendrik S. V. de Snoo; 16. Commuting operators and function theory on a Riemann surface Victor Vinnikov.
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