ENGLISH

The Hardy space of a slit domain

By Alexandru Aleman , Nathan S. Feldman , William T. Ross

Book information

Publisher
Birkhäuser Basel
Year
2009
ISBN
3034600976, 9783034600972
LCC
QA331.7 .A435 2009
Open Library ID
OL24803483M
Language
english
Format
PDF
Filesize
744 kB (761569 bytes)
Series
Frontiers in Mathematics
Edition
1
Pages
143\143
Library
Kolxo3
Scanned
yes
Time added
2010-07-29 05:14:56

Description

The book begins with an exposition of Hardy spaces of slit domains and then proceeds to several descriptions of the invariant subspaces of the operator multiplication by z. Along the way, we discuss and characterize the nearly invariant subspaces of these Hardy spaces and examine conditions for z-invariant subspaces to be cyclic. This work also makes important connections to model spaces for the standard backward shift operator as well as the de Branges spaces of entire functions. The book is written for a graduate student or professional with a reasonable knowledge of Hardy spaces of the disk and basic complex and functional analysis.

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