Analysis of Toeplitz Operators

Albrecht Böttcher

ISBN 10: 3540324348 / ISBN 13: 9783540324348

Edité par Springer, Berlin, Springer, 2006

A propos de cet article

Neuware - 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.

N° de réf. du vendeur 9783540324348

Détails bibliographiques

• Titre: Analysis of Toeplitz Operators
• Éditeur: Springer, Berlin, Springer
• Date de parution: 2006
• Langue: anglais
• ISBN à 10 chiffres: 3540324348
• ISBN à 13 chiffres: 9783540324348
• Reliure: Buch
• Édition: 2ème Édition
• État de l'article: Neu
• Dimensions: 268 L x 157 H x 44 P (en millimètres) 268 millimètres de largeur par 157 millimètres de hauteur par 44 millimètres de profondeur
• Poids: 1122 grammes

A propos de ce titre

Synopsis

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.

Présentation de l'éditeur

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.