Stephan Ramon Garcia

Introduction to Model Spaces and their Operators (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 17. Mai 2016
• Englisch
• ISBN-13: 9781316389836
• Artikelnr.: 52845026

Autorenporträt

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.

Inhaltsangabe

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.