Complex Potential Theory: (Closed)): 439 - Brossura

 
9789401044035: Complex Potential Theory: (Closed)): 439
Brossura
ISBN 10: 9401044031 ISBN 13: 9789401044035
Casa editrice: Springer, 2012

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione

`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)

Contenuti

Preface. 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. Fornæss, 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. Index.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2012
Lingua
Inglese
ISBN 10 
9401044031
ISBN 13 
9789401044035
Rilegatura
Copertina flessibile
Numero di pagine
576
Redattore
Gauthier Paul M.
Contatto del produttore
GPSR Kontakt
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Altre edizioni note dello stesso titolo

9780792330059: Complex Potential Theory: Proceedings of the NATO Advanced Study Institute and Seminaire de Mathematiques Superieures, Montreal, Canada, July 26-August 6, 1993: v. 439

Edizione in evidenza

ISBN 10:  0792330056 ISBN 13:  9780792330059
Casa editrice: Kluwer Academic Publishers, 1994
Rilegato