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Limit theorems of polynomial approximation with exponential weights

About this Title

Michael I. Ganzburg

Publication: Memoirs of the American Mathematical Society
Publication Year: 2008; Volume 192, Number 897
ISBNs: 978-0-8218-4063-4 (print); 978-1-4704-0503-8 (online)
DOI: https://doi.org/10.1090/memo/0897
MathSciNet review: 2387892
MSC: Primary 41A17; Secondary 30D15, 31A05

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Table of Contents

Chapters

• 1. Introduction
• 2. Statement of main results
• 3. Properties of harmonic functions
• 4. Polynomial inequalities with exponential weights
• 5. Entire functions of exponential type and their approximation properties
• 6. Polynomial interpolation and approximation of entire functions of exponential type
• 7. Proofs of the limit theorems
• 8. Applications
• 9. Multidimensional limit theorems of polynomial approximation with exponential weights
• 10. Examples