Buch

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Übersicht

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Verlag	:	Springer US
Buchreihe	:	Universitext, Universitext: Tracts in Mathematics
Sprache	:	Englisch
Erschienen	:	15. 11. 1996
Seiten	:	157
Einband	:	Kartoniert
Höhe	:	235 mm
Breite	:	155 mm
Gewicht	:	540 g
ISBN	:	9780387947549
Sprache	:	Englisch

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Inhaltsverzeichnis

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Preliminaries.- §1. Notation.- §2. Some Facts.- 1. Some Basic Properties of Analytic Functions.- §1. Definition and Integral Representation.- §2. Power Series Expansions and Residues.- §3. Global Cauchy Theorems.- 2. Properties of Analytic Mappings.- §1. Conformal Mappings.- §2. The Riemann Sphere and Projective Space.- §3. Univalent Functions.- §4. Picard’s Theorems.- 3. Analytic Approximation and Continuation.- §1. Approximation with Rationals.- §2. Mittag-Leffler’s Theorem and the Inhomogeneous Cauchy-Riemann Equation.- §3. Analytic Continuation.- §4. Simply Connected Domains.- §5. Analytic Functionals and the Fourier-Laplace Transform.- §6. Mergelyan’s Theorem.- 4. Harmonic and Subharmonic Functions.- §1. Harmonic Functions.- §2. Subharmonic Functions.- 5. Zeros, Growth, and Value Distribution.- §1. Weierstrass’ Theorem.- §2. Zeros and Growth.- §3. Value Distribution of Entire Functions.- 6. Harmonic Functions and Fourier Series.- §1. Boundary Values of Harmonic Functions.- §2. Fourier Series.- 7. IF Spaces.- §1. Factorization in Hp Spaces.- §2. Invariant Subspaces of H2.- §3. Interpolation of H?.- §4. Carleson Measures.- 8. Ideals and the Corona Theorem.- §1. Ideals in A(?).- §2. The Corona Theorem.- 9. H1 and BMO.- §1. Bounded Mean Oscillation.- §2. The Duality of H1 and BMO.- List of Symbols.

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