Holomorphic Spaces - Brossura

Axler, Sheldon

Brossura

ISBN 10: 0521101034 ISBN 13: 9780521101035

Casa editrice: Cambridge University Press, 2009

Riassunto

Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.

Su questo libro

Descrizione del libro

Spaces of holomorphic functions have been a prominent theme in analysis since early in the twentieth century. Of interest to complex analysts, functional analysts, operator theorists and systems theorists, their study is now flourishing. This volume contains expository articles by programme participants describing the role that Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.

Contenuti

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.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0521101034
• ISBN 13: 9780521101035
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 488
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia