Sökning: "Christer Kiselman"

Visar resultat 1 - 5 av 9 avhandlingar innehållade orden Christer Kiselman.

  1. 1. Studies in analytic functionals and functions of exponential type

    Författare :Christer O. Kiselman; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : .... LÄS MER

  3. 2. Géométrie digitale utilisée pour la discretisation et le recouvrement optimal des objets euclidiens

    Författare :Adama Arouna Koné; Christer O. Kiselman; Ouaténi Diallo; Diby Diarra; Gunilla Borgefors; Fana Tangara; Sado Traoré; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Digital geometry; Euclidean lines; planes; Géométrie digitale; droites euclidiens; plans; Mathematics with specialization in Applied Mathematics; Matematik med inriktning mot tillämpad matematik;

    Sammanfattning : A Euclidean line in the plane is discretized and the discretized line is dilated by a rectangle.  The thesis studies the dilations that cover the original line and determine the optimal ones.  Similarly, dilations of discretized Euclidean hyperplanes are studied, and the optimal coverings are described.. LÄS MER

  4. 3. 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 :NATURVETENSKAP; NATURAL SCIENCES; 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

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

    Författare :Abtin Daghighi; Stefan Borell; Christer Kiselman; Egmont Porten; Juergen Leiterer; Mittuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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

  7. 5. Digital Geometry and Khalimsky Spaces

    Författare :Erik Melin; Christer Kiselman; Gunilla Borgefors; Mikael Passare; Jean Serra; Uppsala universitet; []
    Nyckelord :Applied mathematics; Khalimsky topology; digital geometry; digital topology; Alexandrov space; digital surface; digital curve; digital manifold; continuous extension; smallest-neighborhood space; image processing; Tillämpad matematik;

    Sammanfattning : Digital geometry is the geometry of digital images. Compared to Euclid’s geometry, which has been studied for more than two thousand years, this field is very young.Efim Khalimsky’s topology on the integers, invented in the 1970s, is a digital counterpart of the Euclidean topology on the real line. LÄS MER