Functionals of Finite Riemann Surfaces / / Donald Clayton Spencer, Menahem Schiffer.

An investigation of finite Riemann surfaces from the point of view of functional analysis, that is, the study of the various Abelian differentials of the surface in their dependence on the surface itself. Many new results are presented.Originally published in 1954.The Princeton Legacy Library uses t...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2015]
©1954
Year of Publication:2015
Language:English
Series:Princeton Legacy Library ; 2190
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Physical Description:1 online resource (462 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Acknowledgments
  • Contents
  • 1. Geometrical and Physical Considerations
  • 2. Existence Theorems for Finite Riemann Surfaces
  • 3. Relations between Differentials
  • 4. Bilinear Differentials
  • 5. Surfaces Imbedded in a Given Surface
  • 6. Integral Operators
  • 7. Variations of Surfaces and of their Functionals
  • 8. Applications of the Variational Method
  • 9. Remarks on Generalization to Higher Dimensional Kähler Manifolds
  • Index