The Hardy space of a slit domain [electronic resource] / Alexandru Aleman, Nathan S. Feldman, William T. Ross.

Beginning with an exposition of Hardy spaces of slit domains, this book proceeds to several descriptions of the invariant subspaces of the operator multiplication by z. It also discusses and characterizes the nearly invariant subspaces of these Hardy spaces and examines conditions for z-invariant su...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Aleman, Alexandru
Other Authors: Feldman, Nathan S., Ross, William T., 1964-
Format: Electronic eBook
Language:English
Published: Basel : Birkhäuser, 2009.
Series:Frontiers in mathematics.
Subjects:
Table of Contents:
  • Preliminaries
  • Nearly invariant subspaces
  • Nearly invariant and the backward shift
  • Nearly invariant and de Branges spaces
  • Invariant subspaces of the slit disk
  • Cyclic invariant subspaces
  • The essential spectrum
  • Other applications
  • Domains with several slits
  • Final thoughts.