The Hardy Space of a Slit Domain by Alexandru AlemanThe Hardy Space of a Slit Domain by Alexandru Aleman

The Hardy Space of a Slit Domain

byAlexandru Aleman, Nathan S. Feldman, William T. Ross

Paperback | August 14, 2009

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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.
Title:The Hardy Space of a Slit DomainFormat:PaperbackDimensions:144 pagesPublished:August 14, 2009Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3034600976

ISBN - 13:9783034600972


Table of Contents

Preface; Notation; List of Symbols; Preamble; 1 Introduction; 2 Preliminaries; 3 Nearly invariant subspaces; 4 Nearly invariant and the backward shift; 5 Nearly invariant and de Branges spaces; 6 Invariant subspaces of the slit disk; 7 Cyclic invariant subspaces; 8 The essential spectrum; 9 Other applications; 10 Domains with several slits; 11 Final thoughts; 12 Appendix

Editorial Reviews

From the reviews:"This memoir is concerned with the description of the shift-invariant subspaces of a Hardy space on a slit domain . . this brief monograph represents an interesting and valuable contribution to the literature on the subject of shift-invariant subspaces. It should be helpful for researchers and advanced graduate students specializing in the field." (Dragan Vukotic, Mathematical Reviews, Issue 2011 m)