Introduction to Model Spaces and their Operators
Published on 17. May 2016
Book
Hardback
340 pages
978-1-107-10874-5 (ISBN)
Description
The study of model spaces, the closed invariant subspaces of the backward shift operator, is a vast area of research with connections to complex analysis, operator theory and functional analysis. This self-contained text is the ideal introduction for newcomers to the field. It sets out the basic ideas and quickly takes the reader through the history of the subject before ending up at the frontier of mathematical analysis. Open questions point to potential areas of future research, offering plenty of inspiration to graduate students wishing to advance further.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 4 Halftones, unspecified; 6 Line drawings, unspecified
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 25 mm
Weight
703 gr
ISBN-13
978-1-107-10874-5 (9781107108745)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Stephan Ramon Garcia | Javad Mashreghi | William T. Ross
Introduction to Model Spaces and their Operators
E-Book
11/2016
Cambridge University Press
€64.99
Available for download
Stephan Ramon Garcia
Introduction to Model Spaces and their Operators
E-Book
05/2016
Cambridge University Press
€56.49
Available for download
Persons
Stephan Ramon Garcia is an Associate Professor at Pomona College, California. He has earned multiple NSF research grants and five teaching awards from three different institutions. He has also authored over 50 research articles in operator theory, complex analysis, matrix analysis, and number theory. Javad Mashreghi is a Professor of Mathematics at Universite Laval, Quebec, where he has been selected Star Professor of the Year seven times for excellence in teaching. His main fields of interest are complex analysis, operator theory and harmonic analysis. He is the author of several mathematical textbooks, monographs and research articles. He won the G. de B. Robinson Award, the publication prize of the Canadian Mathematical Society, in 2004. William T. Ross is the Roger Francis and Mary Saunders Richardson Chair in Mathematics at the University of Richmond, Virginia. He is the author of over 40 research papers in function theory and operator theory and also four books.
Content
Preface; Notation; 1. Preliminaries; 2. Inner functions; 3. Hardy spaces; 4. Operators on the Hardy space; 5. Model spaces; 6. Operators between model spaces; 7. Boundary behavior; 8. Conjugation; 9. The compressed shift; 10. The commutant lifting theorem; 11. Clark measures; 12. Riesz bases; 13. Truncated Toeplitz operators; References; Index.