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Rational Approximations and Orthogonality
E. M. Nikishin and V. N. Sorokin
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Translations of Mathematical Monographs
1991; 221 pp; hardcover
Volume: 92
ISBN-10: 0-8218-4545-4
ISBN-13: 978-0-8218-4545-5
List Price: US$95
Member Price: US$76
Order Code: MMONO/92
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This book presents a wide range of problems connected with rational approximations of numbers and analytic functions. These problems touch on many topics in contemporary analysis, such as analytic functions, orthogonal polynomials, spectral theory of operators, and potential theory. Motivated by the development of the theory of Padé approximants and the current application of this theory in related disciplines, the authors present an introduction to this circle of ideas. The book is intended for students and future researchers interested in function theory and number theory.

Reviews

"A comprehensive introduction for students and future researchers to topics that are nowadays undergoing intensive development."

-- Journal of Approximation Theory

Table of Contents

  • Rational approximation of numbers
  • Padé approximants and orthogonal polynomials
  • Asymptotic properties of orthogonal polynomials
  • Simultaneous Padé approximants
  • Potential theory
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