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Analytic Capacity and Rational Approximation

  • Book
  • © 1968

Overview

Authors:
  1. Lawrence Zalcman
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 50)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-VI
    Download chapter PDF

  2. Introduction

    • Lawrence Zalcman
    Pages 1-3

  3. Peak points

    • Lawrence Zalcman
    Pages 4-10

  4. Analytic capacity

    • Lawrence Zalcman
    Pages 11-22

  5. Some useful facts

    • Lawrence Zalcman
    Pages 23-26

  6. Estimates for integrals

    • Lawrence Zalcman
    Pages 27-44

  7. Melnikov's theorem

    • Lawrence Zalcman
    Pages 45-51

  8. Further results

    • Lawrence Zalcman
    Pages 52-56

  9. Applications

    • Lawrence Zalcman
    Pages 57-64

  10. The problem of rational approximation

    • Lawrence Zalcman
    Pages 65-76

  11. AC capacity

    • Lawrence Zalcman
    Pages 77-85

  12. A scheme for approximation

    • Lawrence Zalcman
    Pages 86-99

  13. Vitushkin's theorem

    • Lawrence Zalcman
    Pages 100-107

  14. Applications of Vitushkin's theorem

    • Lawrence Zalcman
    Pages 108-111

  15. Geometric conditions

    • Lawrence Zalcman
    Pages 112-116

  16. Function algebra methods

    • Lawrence Zalcman
    Pages 117-129

  17. Some open questions

    • Lawrence Zalcman
    Pages 130-131

  18. Back Matter

    Pages 132-157
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Bibliographic Information

  • Book Title: Analytic Capacity and Rational Approximation

  • Authors: Lawrence Zalcman

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0070657

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1968

  • Softcover ISBN: 978-3-540-04220-4Published: 01 January 1968

  • eBook ISBN: 978-3-540-35825-1Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 160

  • Topics: Mathematics, general

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