Complex Potential Theory: Proceedings of the NATO Advanced Study Institute and Seminaire de Mathematiques Superieures, Montreal, Canada, July ... (Nato Science Series C: (closed), Band 439) - Hardcover

 
9780792330059: Complex Potential Theory: Proceedings of the NATO Advanced Study Institute and Seminaire de Mathematiques Superieures, Montreal, Canada, July ... (Nato Science Series C: (closed), Band 439)

Inhaltsangabe

In Complex Potential Theory, specialists in several complex variables meet with specialists in potential theory to demonstrate the interface and interconnections between their two fields. The following topics are discussed:

  • 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, propagation of smallness.
  • Complex dynamics. Review of complex dynamics in one variable, Julia sets, Fatou sets, background in several variables, Hénon maps, ergodicity use of potential theory and multifunctions.
  • 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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9789401044035: Complex Potential Theory: (Closed)) (Nato Science Series C:, Band 439)

Vorgestellte Ausgabe

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