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Hardy Classes on Infinitely Connected Riemann Surfaces

  • Book
  • © 1983

Overview

Authors:
  1. Morisuke Hasumi
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1027)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XII
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  2. Theory of Riemann surfaces: A quick review

    • Morisuke Hasumi
    Pages 1-22

  3. Multiplicative analytic functions

    • Morisuke Hasumi
    Pages 23-38

  4. Martin compactification

    • Morisuke Hasumi
    Pages 39-63

  5. Hardy classes

    • Morisuke Hasumi
    Pages 64-82

  6. Riemann surfaces of Parreau-Widom type

    • Morisuke Hasumi
    Pages 83-118

  7. Green lines

    • Morisuke Hasumi
    Pages 119-143

  8. Cauchy theorems

    • Morisuke Hasumi
    Pages 144-159

  9. Shift-invariant subspaces

    • Morisuke Hasumi
    Pages 160-178

  10. Characterization of surfaces of Parreau-Widom type

    • Morisuke Hasumi
    Pages 179-207

  11. Examples of surfaces of Parreau-Widom type

    • Morisuke Hasumi
    Pages 208-233

  12. Classification of plane regions

    • Morisuke Hasumi
    Pages 234-261

  13. Back Matter

    Pages 262-280
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Keywords

Bibliographic Information

  • Book Title: Hardy Classes on Infinitely Connected Riemann Surfaces

  • Authors: Morisuke Hasumi

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0071447

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1983

  • Softcover ISBN: 978-3-540-12729-1Published: 01 October 1983

  • eBook ISBN: 978-3-540-38719-0Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 282

  • Topics: Analysis, Surface and Interface Science, Thin Films

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