Search for dissertations about: "Matematik naturvetenskapliga Fakulteten"

Showing result 1 - 5 of 46 swedish dissertations containing the words Matematik naturvetenskapliga Fakulteten.

  2. 1. Singular Ginzburg-Landau Vortices

    Author : Mats Aigner; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; singularities; Ginzburg-Landau; vortices; Matematik;

    Abstract : In this thesis we study the critical Ginzburg-Landau action, defined on fields in the plane which are allowed to have a finite number of singularities. We show that a topological invariant, the degree, can be defined under the assumption of finite action only. READ MORE

  4. 2. Dualities, affine vertex operator algebras, and geometry of complex polynomials

    Author : Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Sendov s conjecture; annihilating fields; relative vertex operators; twisted modules; vertex operator algebras; Affine Lie algebras; standard modules; geometry of polynomials.; Mathematics; Matematik;

    Abstract : This thesis consists of two parts which deal with different subjects. In the first part we study certain aspects of the representation theory of affine Kac-Moody Lie algebras and related structures. READ MORE

  5. 3. Topics in Complex Analysis and Operator Theory I. The shift operator on spaces of vector-valued analytic functions II. Fatou-type theorems for general approximate identities III. Preduals of Q_p-spaces

    Author : Marcus Carlsson; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Qp-spaces; Non-tangential limits; Shift operator; Mathematics; Matematik;

    Abstract : This thesis consists of six articles on three different subjects in the area of complex analysis, operator theory and harmonic analysis. Part I - "The Shift Operator on Spaces of Vector-valued Analytic Functions" consists of three closely connected articles that investigate certain operators in the Cowen-Douglas class with spectrum D - the unit disc, or equivalently, the shift operator M_z (multiplication by $z$) on Hilbert spaces of vector-valued analytic functions on D. READ MORE

  6. 4. Hankel operators and atomic decompositions in vector-valued Bergman spaces

    Author : Olivia Constantin; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Hankel operators; similarity to contractions; atomic decompositions;

    Abstract : Abstract This thesis consists of the following three papers Paper I. Hankel operators on Bergman spaces and similarity to contractions. In this paper we consider Foguel-Hankel operators on vector-valued Bergman spaces. READ MORE

  7. 5. The Back-scattering Problem in Three Dimensions

    Author : Robert Lagergren; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; back-scattering; Schrödinger operator; inverse scattering; Mathematics; Matematik;

    Abstract : In this thesis we study the (inverse) back-scattering problem for the Schr"odinger operator in $R^3$. We introduce the back-scattering transform $B(v)$ of a real-valued potential $vin C_0^infty(R^3)$, and prove that the back-scattering data associated to $v$ determine $B(v)$. READ MORE