Sökning: "holomorphic group actions"

Hittade 3 avhandlingar innehållade orden holomorphic group actions.

1. 1. Holomorphic embeddings and applications

   Författare :Sam Lodin; Frank Kutzschebauch; Jörgen Boo; Frank Wikström; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Anders´en-Lempert-theory; holomorphic embeddings; Eisenman hyperbolicity; holomorphic group actions; plurisubharmonic extension; analytic polyhedron; MATHEMATICS; MATEMATIK;

   Sammanfattning : 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. LÄS MER

3. 2. Holomorphic automorphisms of Danielewski surfaces

   Författare :Andreas Lind; Frank Kutzschebauch; Egmont Porten; Frank Wikström; Erik Low; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Danielewski surfaces; holomorphic; automorphisms; Lie groups; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

   Sammanfattning : 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. LÄS MER

4. 3. Hankel operators and Plancherel formula

   Författare :Genkai Zhang; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : We consider the natural unitary action of the group SU(d, 1) on the Hilbert space L2(B,d/j,\), where B is the unit ball of C , dfi\ is the measure K(z, z)~~*+ï dm(z), and K(z, z) the reproducing kernel of the Bergman space on B. For A >—1 and not an integer, a Plancherel formula is proved for this action and, in particular, an explicit formula for the correponding Plancherel measure is found. LÄS MER