Function Theory of Several Complex VariablesWiley, 1982 - 437 Seiten Krantz has a very readable style and this is one math book that is fun reading (assuming you have the background listed above). No definition causes you to wonder why it was defined, and no theorem causes you to wonder why it was proved. It's also one of the few books that defines sheaf cohomology in terms of actual geometric intuition and concrete examples. Even readers not interested in several complex variables should benefit from the way he treats tangential subjects in this book. |
Inhalt
An Introduction to the Subject | 1 |
Chapter | 10 |
Chapter | 13 |
Urheberrecht | |
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Häufige Begriffe und Wortgruppen
a²p analytic disc assume ball Bergman kernel Bergman metric biholomorphic Bochner-Martinelli C² boundary Cauchy Cauchy-Riemann equations Chapter coefficients cohomology complex variables compute continuous converges convex Corollary Cousin defining function definition denote differential do(y domain of holomorphy domain with C² equations finite fixed function f ƒ is holomorphic harmonic functions Hartogs Henkin Hint holomorphic functions holomorphic map implies integral formula Lemma Let CC Let f Let ƒ Levi pseudoconvex linear manifold Math Miscellaneous Exercise multi-index neighborhood normal notation open set operator pluriharmonic plush Poisson kernel polydisc polynomial power series problem Proof Let PROPOSITION prove pseudoconvex domains Reader real analytic Remark result satisfies Section sequence sheaf solution strongly pseudoconvex domain subharmonic functions Suppose Szegö kernel theory topology trivial vector w₁ z₁ z₂ zero set ΘΩ