Complex potential theory
著者
書誌事項
Complex potential theory
（NATO ASI series, series C . Mathematical and physical sciences ; no. 439）
Kluwer Academic Publishers, c1994
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注記
"Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques superiéures on Complex Potential Theory, Montréal, Canada, July 26-August 6, 1993" -- T.p. verso
Includes index
内容説明・目次
内容説明
This conference allowed specialists in several complex variables to meet with specialists in potential theory to demonstrate the interface and interconnections between their two fields. The following topics were discussed: 1. Real and complex potential theory - capacity and approximation, basic properties of plurisubharmonic functions and methods to manipulate their singularities and study theory growth, Green functions, Chebyshev-like quadratures, electrostatic fields and potentials, and the propagation of smallness. 2. Complex dynamics - review of complex dynamics in one variable, Julia sets, Fatou sets, background in several variables, Henon maps, ergodicity use of potential theory and multifunctions. 3. Banach algebras and infinite dimensional holomorphy - analytic multifunctions, spectral theory, analytic functions on a Banach space, semigroups of holomorphic isometries, Pick interpolation on uniform algebras and von Neumann inequalities for operators on a Hilbert space.
目次
- Analytic multifunctions and their applications, B. Aupetit
- Harmonic approximation on closed subsets of Riemannian manifolds, T. Bagby, P.M. Gauthier
- Pick interpolation, Von Neumann inequalities, and hyperconvex sets, B.J. Cole, J. Wermer
- Complex dynamics in higher dimensions, J.E. Fornass, N. Sibony
- Analytic functions on Banach spaces, T.W. Gamelin
- Uniform approximation, P.M. Gauthier
- Plurisubharmonic functions and their singularities, C.O. Kiselman
- Chebyshev-type quadratures - use of complex analysis and potential theory, J. Korevaar
- General aspects of potential theory with respect to problems of differential equations, N.N. Takhanov
- Removability, capacity and approximation, J. Verdera
- Semigroups of holomorphic isometries, E. Vesentini.
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