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Uniform Approximation

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 406))

Abstract

The theory of uniform approximation by holomorphic functions of a single complex variable has a long history, starting with the classical results of Weierstrass (1885) and Runge (1885), including the result of Walsh (1926), Hartogs and Rosenthal (1931), (M.A.) Lavrent’ev (1934) and Keldysh (1945) and attaining its culmination in the works of Mergelyan (1951) and Vitushkin (1966) (cf. the surveys [194, 303, 195] et al).

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© 1997 Springer Science+Business Media Dordrecht

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Tarkhanov, N.N. (1997). Uniform Approximation. In: The Analysis of Solutions of Elliptic Equations. Mathematics and Its Applications, vol 406. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8804-1_5

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  • DOI: https://doi.org/10.1007/978-94-015-8804-1_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4845-5

  • Online ISBN: 978-94-015-8804-1

  • eBook Packages: Springer Book Archive

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