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Functionals of finite Riemann surfaces /

This monograph is an outgrowth of lectures given by the authors at Princeton University during the academic year 1949-1950, and it is concerned with finite Riemann surfaces- that is to say with Riemann surfaces of finite genus which have a finite number of non-degenerate boundary components. The mai...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Schiffer, Menahem, Spencer, D. C. (Donald Clayton), 1912-2001 (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, [1954]
Colección:Princeton mathematical series ; 16.
Temas:
Acceso en línea:Texto completo

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245 1 0 |a Functionals of finite Riemann surfaces /  |c by Menahem Schiffer and Donald C. Spencer. 
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490 1 |a Princeton mathematical series ;  |v 16 
504 |a Includes bibliographical references at chapter ends, and index. 
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505 0 |a Geometrical and physical considerations -- Existence theorems for finite Riemann surfaces -- Relations between differentials -- Bilinear differentials -- Surfaces imbedded in a given surface -- Integral operators -- Variations of surfaces and of their functionals -- Applications of the variational method -- Remarks on generalization to higher dimensional Kähler manifolds. 
520 |a This monograph is an outgrowth of lectures given by the authors at Princeton University during the academic year 1949-1950, and it is concerned with finite Riemann surfaces- that is to say with Riemann surfaces of finite genus which have a finite number of non-degenerate boundary components. The main purpose of the monograph is the 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. Riemann surfaces with boundary are closed by the doubling process and their theory is thus reduced to that of closed surfaces. Attention is centered on the differentials of the third kind in terms of which the other differentials may be expressed. The monograph is self-contained except for a few places where references to the literature are given. 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
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520 8 |a Annotation  |b The Description for this book, Functionals of Finite Riemann Surfaces, will be forthcoming. 
590 |a JSTOR  |b Books at JSTOR All Purchased 
590 |a JSTOR  |b Books at JSTOR Evidence Based Acquisitions 
590 |a JSTOR  |b Books at JSTOR Demand Driven Acquisitions (DDA) 
650 0 |a Riemann surfaces. 
650 0 |a Kählerian manifolds. 
650 0 |a Manifolds (Mathematics) 
650 0 |a Functions. 
650 6 |a Surfaces de Riemann. 
650 6 |a Variétés kählériennes. 
650 6 |a Variétés (Mathématiques) 
650 6 |a Fonctions (Mathématiques) 
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650 7 |a MATHEMATICS  |x Reference.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Functional Analysis.  |2 bisacsh 
650 7 |a Manifolds (Mathematics)  |2 fast 
650 7 |a Kählerian manifolds  |2 fast 
650 7 |a Functions  |2 fast 
650 7 |a Riemann surfaces  |2 fast 
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700 1 |a Spencer, D. C.  |q (Donald Clayton),  |d 1912-2001,  |e author. 
776 0 8 |i Print version:  |a Schiffer, Menahem.  |t Functionals of finite Riemann surfaces.  |d Princeton, N.J., Princeton University Press, 1954  |w (DLC) 52008778  |w (OCoLC)528214 
830 0 |a Princeton mathematical series ;  |v 16. 
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