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Complex Potential Theory Softcover reprint of the original 1st ed. 1994 [Mīkstie vāki]

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  • Formāts: Paperback / softback, 552 pages, height x width: 240x160 mm, weight: 908 g, XIX, 552 p., 1 Paperback / softback
  • Sērija : NATO Science Series C 439
  • Izdošanas datums: 14-Oct-2012
  • Izdevniecība: Springer
  • ISBN-10: 9401044031
  • ISBN-13: 9789401044035
  • Mīkstie vāki
  • Cena: 46,91 €*
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  • Formāts: Paperback / softback, 552 pages, height x width: 240x160 mm, weight: 908 g, XIX, 552 p., 1 Paperback / softback
  • Sērija : NATO Science Series C 439
  • Izdošanas datums: 14-Oct-2012
  • Izdevniecība: Springer
  • ISBN-10: 9401044031
  • ISBN-13: 9789401044035
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, Henon 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.

Recenzijas

`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)

Papildus informācija

Springer Book Archives
Analytic multifunctions and their applications.- Harmonic approximation
on closed subsets of Riemannian manifolds.- Pick interpolation, Von Neumann
inequalities, and hyperconvex sets.- Complex dynamics in higher dimensions.-
Analytic functions on Banach spaces.- Uniform approximation.-
Plurisubharmonic functions and their singularities.- Chebyshev-type
quadratures: use of complex analysis and potential theory.- General aspects
of potential theory with respect to problems of differential equations.-
Removability, capacity and approximation.- Semigroups of holomorphic
isometries.