Search for dissertations about: "Christer Kiselman"

Showing result 1 - 5 of 8 swedish dissertations containing the words Christer Kiselman.

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

   Author : Christer O. Kiselman; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   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. Digital Geometry and Khalimsky Spaces

   Author : Erik Melin; Christer Kiselman; Gunilla Borgefors; Mikael Passare; Jean Serra; Uppsala universitet; []
   Keywords : 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;

   Abstract : 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. READ MORE

7. 5. Digital Geometry, Combinatorics, and Discrete Optimization

   Author : Shiva Samieinia; Christer Kiselman; Rikard Bøgvad; Rémy Malgouyres; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Digital geometry; Khalimsky topology; Khalimsky plane; Khalimsky-continuous function; digital straight line segments; discrete optimization; discrete convexity; integral convexity; lateral convexity; marginal function; MATHEMATICS; MATEMATIK; Mathematics; matematik;

   Abstract : This thesis consists of two parts: digital geometry and discrete optimization. In the first part we study the structure of digital straight line segments. We also study digital curves from a combinatorial point of view. READ MORE