Rational approximations and orthogonality

著者

書誌事項

Rational approximations and orthogonality

E.M. Nikishin, V.N. Sorokin ; [translated from the Russian by Ralph P. Boas ; translation edited by Sergei Gelfand]

（Translations of mathematical monographs, v. 92）

American Mathematical Society, c1991

タイトル別名

Rat︠s︡ionalʹnye approksimat︠s︡ii i ortogonalʹnostʹ

Рациональные аппроксимации и ортогональность

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注記

Bibliography: p. 211-217

Includes index

内容説明・目次

内容説明

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 Pade 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.

目次

Rational approximation of number Pade approximations and orthogonal polynomials Asymptotic properties of orthogonal polynomials simultaneous Pade approximants Potential theory.

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