Sökning: "complete pluripolar set"

Hittade 2 avhandlingar innehållade orden complete pluripolar set.

1. 1. Pluripolar Sets and Pluripolar Hulls

   Författare :Tomas Edlund; Burglind Juhl-Jöricke; Norm Levenberg; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; plurisubharmonic functions; pluripolar set; complete pluripolar set; pluripolar hull; fine topology; finely analytic function; fine analytic continuation; Matematisk analys; Mathematical analysis; Analys;

   Sammanfattning : For many questions of complex analysis of several variables classical potential theory does not provide suitable tools and is replaced by pluripotential theory. The latter got many important applications within complex analysis and related fields. Pluripolar sets play a special role in pluripotential theory. LÄS MER

3. 2. On the Extension and Wedge Product of Positive Currents

   Författare :Ahmad Khalid Al Abdulaali; Jan-Erik Björk; Hassine El Mir; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Closed positive currents; plurisubharmonic currents; plurisubharmonic functions; pluripolar sets; k-convex functions; wedge product of currents; Mathematics; matematik;

   Sammanfattning : This dissertation is concerned with extensions and wedge products of positive currents. Our study can be considered as a generalization for classical works done earlier in this field. Paper I deals with the extension of positive currents across different types of sets. LÄS MER