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Bergman Spaces

About this Title

Peter Duren, University of Michigan, Ann Arbor, MI and Alexander Schuster, San Francisco State University, San Francisco, CA

Publication: Mathematical Surveys and Monographs
Publication Year: 2004; Volume 100
ISBNs: 978-0-8218-0810-8 (print); 978-1-4704-1327-9 (online)
DOI: https://doi.org/10.1090/surv/100
MathSciNet review: MR2033762
MSC: Primary 30H05; Secondary 30-02, 46E15, 46E20, 47B38

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Table of Contents

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Front/Back Matter

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Chapters

• 0. Overview
• 1. The Bergman kernel function
• 2. Linear space properties
• 3. Analytic properties
• 4. Zero-sets
• 5. Contractive zero-divisors
• 6. Sampling and interpolation
• 7. Proofs of sampling and interpolation theorems
• 8. Invariant subspaces
• 9. Structure of invariant subspaces