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Look Inside Introduction to Model Spaces and their Operators

Introduction to Model Spaces and their Operators

Name: Introduction to Model Spaces and their Operators
Price: 92.99 USD
Availability: LimitedAvailability
ISBN: 9781316391037

$92.99 USD

Part of Cambridge Studies in Advanced Mathematics

Authors:
Stephan Ramon Garcia, Pomona College, California
Javad Mashreghi, Université Laval, Québec
William T. Ross, University of Richmond, Virginia

Date Published: November 2016
availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
format: Adobe eBook Reader
isbn: 9781316391037

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About the Authors

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.
- Self-contained chapters help graduate students and newcomers to follow the topics discussed
- Provides historical background that sets model spaces in the context of complex analysis and operator theory
- Allows the reader to fast-track to the latest developments in the field
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Product details
- Date Published: November 2016
- format: Adobe eBook Reader
- isbn: 9781316391037
- contains: 10 b/w illus.
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
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.
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Authors
Stephan Ramon Garcia, Pomona College, California
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, Université Laval, Québec
Javad Mashreghi is a Professor of Mathematics at Université Laval, Québec, 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, University of Richmond, Virginia
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.