Willkommen, schön sind Sie da!
Logo Ex Libris

Analysis of Toeplitz Operators

  • E-Book (pdf)
  • 665 Seiten
(0) Erste Bewertung abgeben
Bewertungen
(0)
(0)
(0)
(0)
(0)
Alle Bewertungen ansehen
A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the suc... Weiterlesen
E-Books ganz einfach mit der kostenlosen Ex Libris-Reader-App lesen. Hier erhalten Sie Ihren Download-Link.
CHF 112.90
Download steht sofort bereit
Informationen zu E-Books
E-Books eignen sich auch für mobile Geräte (sehen Sie dazu die Anleitungen).
E-Books von Ex Libris sind mit Adobe DRM kopiergeschützt: Erfahren Sie mehr.
Weitere Informationen finden Sie hier.
Bestellung & Lieferung in eine Filiale möglich

Beschreibung

A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the success of the first edition which has been used as a standard reference for fifteen years. Topics range from the analysis of locally sectorial matrix functions to Toeplitz and Wiener-Hopf determinants. This will appeal to both graduate students and specialists in the theory of Toeplitz operators.



Klappentext

Toeplitz operators arise in plenty of applications. They constitute one of the most important classes of non-selfadjoint operators, and the ideas and methods prevailing in the field of Toeplitz operators are a fascinating illustration of the fruitful interplay between operator theory, complex analysis, and Banach algebra techniques. This book is a systematic introduction to the advanced analysis of block Toeplitz operators and includes both classical results and recent developments. Its first edition has been a standard reference for fifteen years. The present second edition is enriched by several results obtained only in the last decade. The topics treated range from the analysis of locally sectorial matrix functions through Toeplitz and Wiener-Hopf operators on Banach spaces, projection methods, and quarter-plane operators up to Toeplitz and Wiener-Hopf determinants. The book is addressed to both graduate students approaching the subject for the first time and specialists in the theory of Toeplitz operators, but should also be of interest to physicists, probabilists, and computer scientists. TOC:Auxiliary material.- Basic theory.- Symbol analysis.- Toeplitz operators on H2.- Toeplitz operators on Hp.- Toeplitz operators on Lp.- Finite section method.- Toeplitz operators over the quarter-plane.- Wiener-Hopf integral operators.- Toeplitz determinants.



Zusammenfassung
Since the late 1980s, Toeplitz operators and matrices have remained a ?eld of extensive research and the development during the last nearly twenty years is impressive. One encounters Toeplitz matrices in plenty of applications on the one hand, and Toeplitz operators con?rmed their role as the basic elementary building blocks of more complicated operators on the other. Several monographs on Toeplitz and Hankel operators were written d- ing the last decade. These include Peller's grandiose book on Hankel ope- tors and their applications and Nikolski's beautiful easy reading on operators, functions, and systems, with emphasis on topics connected with the names of Hardy, Hankel, and Toeplitz. They also include books by the authors together withHagen,Roch,Yu.Karlovich,Spitkovsky,Grudsky,andRabinovich.Thus, results, techniques, and developments in the ?eld of Toeplitz operators are now well presented in the monographic literature. Despite these competitive works, we felt that large parts of the ?rst edition of the present monograp- whichismeanwhileoutofstock-havenotlosttheirfascinationandrelevance. Moreover, the ?rst edition has received a warm reception by many colleagues and became a standard reference. This encouraged us to venture on thinking about a second edition, and we are grateful to the Springer Publishing House for showing an interest in this.

Inhalt
Auxiliary Material.- Basic Theory.- Symbol Analysis.- Toeplitz Operators on H2.- Toeplitz Operators on Hp.- Toeplitz Operators on ?p.- Finite Section Method.- Toeplitz Operators over the Quarter-Plane.- Wiener-Hopf Integral Operators.- Toeplitz Determinants.

Produktinformationen

Titel: Analysis of Toeplitz Operators
Autor:
EAN: 9783540324362
ISBN: 978-3-540-32436-2
Digitaler Kopierschutz: Wasserzeichen
Format: E-Book (pdf)
Herausgeber: Springer
Genre: Diverses
Anzahl Seiten: 665
Veröffentlichung: 11.10.2006
Jahr: 2006
Auflage: 2nd ed. 2006
Untertitel: Englisch
Dateigrösse: 4.8 MB

Weitere Bände aus der Buchreihe "Springer Monographs in Mathematics"