Search for dissertations about: "pluripolar sets"
Found 3 swedish dissertations containing the words pluripolar sets.
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1. Pluripolar Sets and Pluripolar Hulls
Abstract : 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. READ MORE
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2. On the Extension and Wedge Product of Positive Currents
Abstract : 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. READ MORE
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3. Envelopes of holomorphy for bounded holomorphic functions
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