Sökning: "Abtin Daghighi"

Hittade 2 avhandlingar innehållade orden Abtin Daghighi.

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

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

    Sammanfattning : 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. LÄS MER

  2. 2. The Maximum Principle for Cauchy-Riemann Functions and Hypocomplexity

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

    Sammanfattning : 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. LÄS MER