Search for dissertations about: "Harmonic analysis"

Showing result 21 - 25 of 153 swedish dissertations containing the words Harmonic analysis.

  2. 21. Partial Balayage and Related Concepts in Potential Theory

    Author : Joakim Roos; Henrik Shahgholian; Björn Gustafsson; Charles Smart; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Partial balayage; equilibrium measure; obstacle problem; divisible sandpile; Riemannian manifold; quadrature domain; Laplacian growth; mother body; Mathematics; Matematik;

    Abstract : This thesis consists of three papers, all treating various aspects of the operation partial balayage from potential theory.The first paper concerns the equilibrium measure in the setting of two dimensional weighted potential theory, an important measure arising in various mathematical areas, e.g. READ MORE

  4. 22. Essays in Finance Related Problems with PDE Approach

    Author : Sadna Sajadini; Henrik Shah Gholian; Jonas Tysk; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis is comprised of three scientific articles, all in PDE problems related to finance. The first two papers address problems concerning bonds and the third one treat s asymmetry problem in the mean field game theory. READ MORE

  5. 23. Capacities, Poincaré inequalities and gluing metric spaces

    Author : Andreas Christensen; Anders Björn; Jana Björn; Tomas Sjödin; Tapio Rajala; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis consists of an introduction, and one research paper with results related to potential theory both in the classical Euclidean setting, as well as in quite general metric spaces.The introduction contains a theoretical and historical background of some basic concepts, and their more modern generalisations to metric spaces developed in the last 30 years. READ MORE

  6. 24. On two-dimensional conformal geometry related to the Schramm-Loewner evolution

    Author : Lukas Schoug; Fredrik Viklund; Nathanaël Berestycki; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Conformal invariance; scaling; random fractals; Mathematics; Matematik;

    Abstract : This thesis contains three papers, one introductory chapter and one chapter with overviews of the papers and some additional results. The topic of this thesis is the geometry of models related to the Schramm-Loewner evolution.In Paper I, we derive a multifractal boundary spectrum for SLEκ(ρ) processes with κ.. READ MORE

  7. 25. Integral inequalities of Hardy and Friedrichs types with applications to homogenization theory

    Author : Yulia Koroleva; Andrey Piatniski; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This PhD thesis deals with some new integral inequalities of Hardy and Friedrichs types in domains with microinhomogeneous structure in a neighborhood of the boundary. The thesis consists of six papers (Paper A -- Paper F) and an introduction, which put these papers into a more general frame and which also serves as an overview of this interesting field of mathematics. READ MORE