Normal families / Normal families Joel L. Schiff
By: Schiff, Joel L [autor].
Series: Univesitext.New York : Springer-Verlag, 1993Description: 236 paginas.ISBN: 0387979670.Subject(s): Analisis funcional -- matematicas | Funciones analiticas -- matematicas | Funciones merofromas -- matematicas | Functions, meromorphic | Analytic functions | Functional analysis -- mathematicsDDC classification: 515.7 /Item type | Current location | Collection | Call number | Vol info | Copy number | Status | Notes | Date due | Barcode | Item holds |
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Libros | Biblioteca Central | General | 515.7 / S333n (Browse shelf) | 1 | Available | DO | 8000003111 | |||
Libros | Biblioteca Central | General | 515.7 / S333n (Browse shelf) | 2 | Available | CO | 8000007947 |
fotocopias empastadas
Preliminares -- Basic notation -- Spherical and hyperbolic metrics -- Normal convergence --
Some classical theorems -- Local boundedness -- Equicontinuity -- Elliptic functions --
Nevanlinna theory -- Ahlfors theory of convering surfaces --
Analytic functions -- Normality -- Montel's theorem -- Examples -- Vitali-porter theorem -- Zeros
of normal families -- Riemann mapping theorem -- Fundamental normality test -- Picard,
schottky, and julia theorems -- Sectorial theorems -- Covering theorems -- Normal convergence of
of univalent functions --
Meromorphic functions -- Normality -- Montel's theorem -- Marty's theorem -- Compactness --
Poles of a normal family -- Invariant normal families -- Asymptotic values -- Linear fractional
transformations -- Univalent functions --
Bloch principle -- Robinson-Zalcman Heuristic principle -- Counterexamples -- Minda's
formalization -- The drasin theory --
General applications -- Extremal problems -- Dynamical systems -- Normal functions --
Harmonic functions -- Discontinuous groups --
Appendix: Quasi-normal families --
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