Complex Potential Theory: Proceedings of the NATO Advanced Study Institute and Seminaire de Mathematiques Superieures, Montreal, Canada, July ... Series: C: Mathematical & Physical Sciences) - Hardcover

 
9780792330059: Complex Potential Theory: Proceedings of the NATO Advanced Study Institute and Seminaire de Mathematiques Superieures, Montreal, Canada, July ... Series: C: Mathematical & Physical Sciences)

Synopsis

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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Review

`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)

Synopsis

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9789401044035: Complex Potential Theory: 439 (Nato Science Series C:, 439)

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ISBN 10:  9401044031 ISBN 13:  9789401044035
Publisher: Springer, 2012
Softcover