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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: http://dx.doi.org/10.1090/memo/0897
MathSciNet review: 2387892
MSC (2000): 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