Search for dissertations about: "operator functions"

Showing result 21 - 25 of 136 swedish dissertations containing the words operator functions.

  2. 21. Computations of Automorphic Functions on Fuchsian Groups

    Author : Helen Avelin; Andreas Strömbergsson; Dennis Hejhal; Warwick Tucker; Michael Rubinstein; Uppsala universitet; []
    Keywords : Mathematics; 11F72; 11F03; 11F06; 11Y35; 11-04; 11Y16; 33F06; 34B27; 33F05; MATEMATIK;

    Abstract : This thesis consists of four papers which all deal with computations of automorphic functions on cofinite Fuchsian groups. In the first paper we develop an algorithm for numerical computation of the Eisenstein series. We focus in particular on the computation of the poles of the Eisenstein series. READ MORE

  4. 22. On estimates of constants for maximal functions

    Author : Alexander Iakovlev; Jan-Ofov Strömberg; Tuomas Hytönen; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; maximal function; harmonic analysis;

    Abstract : In this work we will study Hardy-Littlewood maximal function and maximal operator, basing on both classical and most up to date works. In the first chapter we will give definitions for different types of those objects and consider some of their most important properties. READ MORE

  5. 23. Generalized Titchmarsh-Weyl functions and super singular perturbations

    Author : Christoph Neuner; Annemarie Luger; Pavel Kurasov; B. Malcolm Brown; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Generalized Titchmarsh-Weyl function; Super singular perturbations; Strongly singular potentials;

    Abstract : In this thesis we study certain singular Sturm-Liouville differential expressions from an operator theoretic point of view.In particular we are interested in expressions that involve strongly singular potentials as introduced by Gesztesy and Zinchenko. READ MORE

  6. 24. The Double Layer Potential Operator Through Functional Calculus

    Author : Michail Krimpogiannis; Andreas Rosén; Bengt-Ove Turesson; Kaj Nyström; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Layer potential operators associated to elliptic partial differential equations have been an object of investigation for more than a century, due to their contribution in the solution of boundary value problems through integral equations.In this Licentiate thesis we prove the boundedness of the double layer potential operator on the Hilbert space of square integrable functions on the boundary, associated to second order uniformly elliptic equations in divergence form in the upper half-space, with real, possibly non-symmetric, bounded measurable coefficients, that do not depend on the variable transversal to the boundary. READ MORE

  7. 25. Operator theory on holomorphic function spaces : Shift and integral operators

    Author : Bartosz Malman; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : In this thesis we study the backward shift operator on various spaces of analytic functions, and integral operators of Cesàro type also acting on various spaces of analytic functions.... READ MORE