Search for dissertations about: "locally integrable structure"
Found 2 swedish dissertations containing the words locally integrable structure.
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1. Regularity and uniqueness-related properties of solutions with respect to locally integrable structures
Abstract : We prove that a smooth generic embedded CR submanifold of C^n obeys the maximum principle for continuous CR functions if and only if it is weakly 1-concave. The proof of the maximum principle in the original manuscript has later been generalized to embedded weakly q-concave CR submanifolds of certain complex manifolds. READ MORE
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2. The Maximum Principle for Cauchy-Riemann Functions and Hypocomplexity
Abstract : This licentiate thesis contains results on the maximum principle forCauchy–Riemann functions (CR functions) on weakly 1-concave CRmanifolds and hypocomplexity of locally integrable structures. Themaximum principle does not hold true in general for smooth CR functions,and basic counterexamples can be constructed in the presenceof strictly pseudoconvex points. READ MORE