Complex Potential Theory

Complex Potential Theory : Proceedings of the NATO Advanced Study Institute and Seminaire de Mathematiques Superieures, Montreal, Canada, July 26-August 6, 1993

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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.
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Product details

  • Hardback | 576 pages
  • 162.56 x 243.84 x 38.1mm | 1,111.3g
  • Dordrecht, Netherlands, United States
  • English
  • index
  • 0792330056
  • 9780792330059

Table of contents

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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Review quote

`The proceedings are recommended for those who are interested in complex function theory, potential theory, interpolation and approximation theory and related domains.'
Acta Sci. Mathematica (1995)
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