A Glimpse of Several Complex Variables

Functions of Several Complex Variables At a naive level, the analysis of several real variables is much like the real analysis of one variable; the main difference is that one deals with n-tuples of reals instead of scalars and one needs matrices to keep track of information. Of course deeper study...

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Bibliographic Details
Published in:	Complex Analysis pp. 161 - 188
Main Author:	Steven G. Krantz
Format:	Book Chapter
Language:	English
Published:	Washington DC The Mathematical Association of America 2004 Mathematical Association of America
Edition:	2
Subjects:	Analytic functions Complex variables Mathematical expressions Mathematical functions Mathematical values Mathematical variables Mathematics Pure mathematics Real and complex analysis Real variables Topological theorems Topology distance-decreasing property of holomorphic mappings normal family Hartogs domain Riemann mapping theorem holomorphic function Riemann's philosophy unitary domain of convergence of a power series biholomorphisms of complete circular domains differential ball Weierstrass's theorem Jacobian matrix set of uniqueness for a holomorphic function automorphism group biholomorphic mapping several complex variables complex Osgood's theorem Carathéodory, Constantin Euclidean invariance Liouville's theorem Cartan's theorem Jacobian matrix complex Moser, Jurgen complete circular domain Hartogs function of two complex variables Kobayashi, S neighborhood in two complex variables Poincaré, Henri function of two complex variables, continuity of bidisc invariance of the Carathéodory indicatrix Schwarz lemma Bell, Steven R Levi, E.E unitary biholomorphisms metric Fefferman, Charles distance-decreasing property domain Chern, S. S Cauchy
ISBN:	9780883850350, 0883850354
Online Access:	Get full text
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