Functionals of finite Riemann surfaces
著者
書誌事項
Functionals of finite Riemann surfaces
（Princeton legacy library）
Princeton University Press, [2016?]
- : hard
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注記
Reprint. Originally published: Princeton University Press, 1954
Includes bibliographical references and index
内容説明・目次
内容説明
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 the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
目次
*Frontmatter, pg. i*Preface, pg. v*Acknowledgments, pg. vii*Contents, pg. viii*1. Geometrical and Physical Considerations, pg. 1*2. Existence Theorems for Finite Riemann Surfaces, pg. 25*3. Relations between Differentials, pg. 64*4. Bilinear Differentials, pg. 88*5. Surfaces Imbedded in a Given Surface, pg. 143*6. Integral Operators, pg. 181*7. Variations of Surfaces and of their Functionals, pg. 273*8. Applications of the Variational Method, pg. 357*9. Remarks on Generalization to Higher Dimensional Kahler Manifolds, pg. 408*Index, pg. 448
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