Search for dissertations about: "Egmont Porten"

Showing result 1 - 5 of 7 swedish dissertations containing the words Egmont Porten.

  2. 1. Geometric methods in the study of CR functions and their singularities

    Author : Egmont Porten; []
    Keywords : CR geometry;

    Abstract : .... READ MORE

  4. 2. Regularity and uniqueness-related properties of solutions with respect to locally integrable structures

    Author : Abtin Daghighi; Egmont Porten; Christer Kiselman; Stefan Borell; Jürgen Leiterer; Mittuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Maximum principle; hypocomplexity; locally integrable structure; hypoanalytic structure; weak pseudoconcavity; uniqueness; CR functions;

    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

  5. 3. The Maximum Principle for Cauchy-Riemann Functions and Hypocomplexity

    Author : Abtin Daghighi; Stefan Borell; Christer Kiselman; Egmont Porten; Juergen Leiterer; Mittuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hypocomplexity; hypoanalytic structure; CR functions; maximum principle; weak pseudoconcavity;

    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

  6. 4. On Propagation of Boundary Continuity for Domains in Complex Space

    Author : Salla Franzén; Egmont Porten; Jan-Erik Björk; Ragnar Sigurdsson; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Boundary behavior of holomorphic functions; Global boundary behavior of holomorphic functions; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : We consider continuity properties of analytic functions in bounded domains in complex space, focusing on the following two questions:Question 1. Given a bounded domain G in complex affine n-space. READ MORE

  7. 5. Holomorphic extension and schlichtness on tube manifolds

    Author : Suprokash Hazra; Egmont Porten; Cornelia Schiebold; Andreas Lind; Per Åhag; Mittuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Envelopes of holomorphy; truncated tube domains; holomorphic extension; Bochner tube; manifold; schlichtness;

    Abstract : We first investigate the holomorphic extension of some classical and accessible classes of domains in $\mathbb{C}^n$ to know to what extent their envelopes are constructive. We give alternative proofs to some of the classical theorems using only first-principle arguments and without involving higher Stein geometry. READ MORE