Search for dissertations about: "holomorphic"
Showing result 1 - 5 of 54 swedish dissertations containing the word holomorphic.
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1. Holomorphic embeddings and applications
Abstract : In the first part of this thesis we consider the question of the number of equivalenceclasses of holomorphic embeddings of Ck into Cn. We show the existence of holomorphicfamilies of proper holomorphic embeddings of Ck into Cn (0 < k < n−1),such that members of the family are pairwise nonequivalent in a suitable sense. READ MORE
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2. Holomorphic automorphisms of Danielewski surfaces
Abstract : In this thesis we define the notion of an overshear on a Danielewskisurface. Next we show that the group generated by the overshears is dense in the component of the identity of the automorphism group. READ MORE
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3. Algebras of bounded holomorphic functions
Abstract : Some problems concerning the algebra of bounded holomorphic functions from bounded domains in Cn are solved. A bounded domain of holomorphy Q in C2 with nonschlicht i7°°- envelope of holomorphy is constructed and it is shown that there is a point in Q for which Gleason’s Problem for H°°(Q) cannot be solved. READ MORE
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4. Holomorphic extension and schlichtness on tube manifolds
Abstract : We first investigate the holomorphic extension of some classical and accessible classes of domains in $\mathbb{C}^n$ to know to what extent their envelopes are constructive. We give alternative proofs to some of the classical theorems using only first-principle arguments and without involving higher Stein geometry. READ MORE
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5. Holomorphic functions on polydiscs and measures on the distinguished boundary
Abstract : This thesis consists of four papers, treating holomorphic functions defined on polydiscs, operators acting on spaces of such functions, and related measures on the n-torus. In paper I we study containment of rational inner functions, or RIFs for short, in Dirichlet type spaces on the unit polydisc D^n. READ MORE