Search for dissertations about: "pseudodifferential operators"

Showing result 1 - 5 of 8 swedish dissertations containing the words pseudodifferential operators.

  2. 1. Resonances of Dirac Operators

    Author : Jimmy Kungsman; Wolfgang Staubach; Roman Schubert; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Semiclassical analysis; Dirac operator; resonances; Poisson trace formula; scattering theory; complex absorbing potential; pseudodifferential operator; Mathematics; Matematik;

    Abstract : This thesis consists of a summary of four papers dealing with resonances of Dirac operators on Euclidean 3-space. In Paper I we show that the Complex Absorbing Potential (CAP) method is valid in the semiclassical limit for resonances sufficiently close to the real line if the potential is smooth and compactly supported. READ MORE

  4. 2. New weighted inequalities with applications to pseudodifferential operators

    Author : Stefan Eilertsen; Per-Anders Ivert; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Weighted integral inequalities; fractional Laplacian; Dirichlet problem; behavior near the boundary; special functions;

    Abstract : This thesis is devoted to weighted integral inequalities and their applications to the  study of boundary behavior of solutions to Dirichlet's problem for fractional powers of the Laplacian.We obtain a necessary and sufficient condition on μ for the operator (—Δ)μin R 0 , 0 ... READ MORE

  5. 3. Generalizations of Szego Limit Theorem : Higher Order Terms and Discontinuous Symbols

    Author : Dimitri Gioev; KTH; []
    Keywords : Regularized determinants; Toeplitz operators; Wiener-Hopf operators; pseudodifferential operators PsDO on manifolds; asymptotics; general theory of PsDO; combinatorial identities; random walks; combinatorial probability; symmetric functions;

    Abstract : .... READ MORE

  6. 4. Strings, Branes and Symmetries

    Author : Anders Westerberg; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Lie-algebra cohomology; Reggeon vertices; extended objects; string theory; p -branes; current algebra; supersymmetry; sewing; pseudodifferential operators; D-branes;

    Abstract : Recent dramatic progress in the understanding of the non-perturbative structure of superstring theory shows that extended objects of various kinds, collectively referred to as p-branes, are an integral part of the theory. In this thesis, comprising an introductory text divided in two parts and seven appended research papers (Papers I-VII), we study various aspects of p-branes with relevance for superstring theory. READ MORE

  7. 5. ρ-branes and PSDOs : on current algebras and their realizations

    Author : Anders Westerberg; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; extensions; current algebra; pseudodifferential operators; p-branes; cohomology; Schwinger terms;

    Abstract : .... READ MORE