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
Chapter 0 | 1 |
Chapter | 13 |
Miscellaneous Exercises | 58 |
Urheberrecht | |
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Häufige Begriffe und Wortgruppen
a²p algebra analytic disc assume ball Bergman kernel Bergman metric biholomorphic map C² boundary Chapter coefficients cohomology compact complex variables compute continuous converges convex coordinates Corollary Cousin Cousin problem defining function definition denote differential domain of holomorphy domain with C² equation finitely fixed follows function f ƒ is holomorphic harmonic functions Hartogs Henkin Hint holomorphic functions implies integral formula Kobayashi metric Lemma Let CC Let f Let ƒ Levi pseudoconvex linear manifold Math Miscellaneous Exercise multi-index neighborhood normal notation open set operator peak function Poisson kernel polydisc polynomial power series problem Proof Let Proposition prove pseudoconvex domains Reader real analytic Remark result satisfies Section sequence sheaf solution space strongly pseudoconvex domain subharmonic subharmonic functions subset Suppose theorem topology trivial vector z₁ z₂ zero set ΘΩ дх