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Complex Potential Theory Softcover Repri Edition
Contributor(s): Gauthier, Paul M. (Editor), Sabidussi, Gert (Other)
ISBN: 9401044031     ISBN-13: 9789401044035
Publisher: Springer
OUR PRICE:   $52.24  
Product Type: Paperback - Other Formats
Published: October 2012
Qty:
Additional Information
BISAC Categories:
- Mathematics | Vector Analysis
- Mathematics | Mathematical Analysis
- Mathematics | Functional Analysis
Dewey: 515.7
Series: NATO Science Series C:
Physical Information: 1.17" H x 6.14" W x 9.21" (1.75 lbs) 552 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
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, H non 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.