Holomorphic spaces

Author(s)

• Axler, Sheldon Jay
• McCarthy, John E. (John Edward)
• Sarason, Donald

Bibliographic Information

Holomorphic spaces

edited by Sheldon Axler, John E. McCarthy, Donald Sarason

（Mathematical Sciences Research Institute publications, 33）

Cambridge University Press, 1998

Note

Includes bibliographical references

Description and Table of Contents

Description

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, an outgrowth of a 1995 program at the Mathematical Sciences Research Institute, contains expository articles by programme participants. Here researchers and graduate students will encounter Hardy spaces, Bergman spaces, Dirichlet spaces, Hankel and Toeplitz operators, and a sampling of the role these objects play in modern analysis.

Table of Contents

• Preface
• 1. Holomorphic spaces: a brief and selective survey Donald Sarason
• 2. Recent progress in the function theory of the Bergman space Hakan 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.

by "Nielsen BookData"

Details

• NCID: BA36677518
• ISBN:
  • 0521631939
• LCCN: 98004656
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge ; New York
• Pages/Volumes: ix, 476 p.
• Size: 24 cm
• Classification:
  • LCC : QA331
  • DC21 : 515
  • NDC8 : 413.52
• Subject Headings:
  • LCSH : Holomorphic functions
  • LCSH : Operator theory
• Parent Bibliography ID:
  • BA00044859