Ideale Ränder Riemannscher Flächen / von Corneliu Constantinescu und Aurel Cornea.
Series Ergebnisse der Mathematik und ihrer Grenzgebiete: n. F., Heft 32.; Ergebnisse der Mathematik und ihrer GrenzgebieteReihe, Moderne Funktionentheorie: Editor: Berlin : Springer, 1963Descripción: 244 p. ; 24 cmTema(s): Riemann surfacesOtra clasificación: 30Fxx(0) Auxiliary concepts and notations; (1) Superharmonic functions; (2) The class HP (which is the class of functions on a Riemann surface representable as the difference of non-negative harmonic functions); (3) The Dirichlet problem; (4) Potential theory; (5) Energy and capacity; (6) Wiener functions; (7) Dirichlet functions; (8) Ideal boundaries; (9) Q-ideal boundaries; (10) Q-Fatou maps; (11) Classes of Riemann surfaces; (12) Extension of a potential theory (exposition of the common parts of the theories of the Martin compactification and of the Kuramochi compactification); (13) The Martin ideal boundary; (14) Behavior of analytic maps on the Martin boundary; (15) Completely super-harmonic (vollsuperharmonisch) functions; (16) The Kuramochi boundary; (17) Potential theory on the Kuramochi compactification; (18) Behavior of Dirichlet maps on the Kuramochiideal boundary; (19) The boundary behavior of analytic maps of the unit disk.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 30 C758 (Browse shelf) | Available | A-2763 |
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Bibliografía: p. 237-240.
(0) Auxiliary concepts and notations; (1) Superharmonic functions; (2) The class HP (which is the class of functions on a Riemann surface representable as the difference of non-negative harmonic functions); (3) The Dirichlet problem; (4) Potential theory; (5) Energy and capacity; (6) Wiener functions; (7) Dirichlet functions; (8) Ideal boundaries; (9) Q-ideal boundaries; (10) Q-Fatou maps; (11) Classes of Riemann surfaces; (12) Extension of a potential theory (exposition of the common parts of the theories of the Martin compactification and of the Kuramochi compactification); (13) The Martin ideal boundary; (14) Behavior of analytic maps on the Martin boundary; (15) Completely super-harmonic (vollsuperharmonisch) functions; (16) The Kuramochi boundary; (17) Potential theory on the Kuramochi compactification; (18) Behavior of Dirichlet maps on the Kuramochiideal boundary; (19) The boundary behavior of analytic maps of the unit disk.
MR, 28 #3151
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