Search for dissertations about: "holomorphic function"

Showing result 1 - 5 of 16 swedish dissertations containing the words holomorphic function.

2. 1. Algebras of bounded holomorphic functions

   Author : Anders Fällström; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; holomorphic function; bounded holomorphic function; domain of holomorphy; envelope of holomorphy; Gleason’s problem; convex set; uniform algebra; spectrum; fibers; generalized Shilov boundary; analytic structure; plurisubharmonic function;

   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

4. 2. Envelopes of holomorphy for bounded holomorphic functions

   Author : Ulf Backlund; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; holomorphicfunction; boundedholomorphic function; domain of holo¬ morphy; envelope of holomorphy; Gleason’s problem; convex set; plurisubharmonic function; pluripolar set; poly normally convex set;

   Abstract : Some problems concerning holomorphic continuation of the class of bounded holo­morphic functions from bounded domains in Cn that are domains of holomorphy are solved. A bounded domain of holomorphy Ω in C2 with nonschlicht H°°-envelope of holomorphy is constructed and it is shown that there is a point in D for which Glea­son’s Problem for H°°(Ω) cannot be solved. READ MORE

5. 3. On zero sets of holomorphic functions in bounded strictly pseudoconvex domains in C

   Author : Jim Arlebrink; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; bounded holomorphic function; current; divisor; bounded holomorphic function;

   Abstract : .... READ MORE

6. 4. Holomorphic functions on polydiscs and measures on the distinguished boundary

   Author : Linus Bergqvist; Alan Sola; Emmanuel Fricain; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Complex variables; Holomorphic functions; Polydiscs; matematik; Mathematics;

   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

7. 5. Operator theory on holomorphic function spaces : Shift and integral operators

   Author : Bartosz Malman; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : In this thesis we study the backward shift operator on various spaces of analytic functions, and integral operators of Cesàro type also acting on various spaces of analytic functions.... READ MORE