Search for dissertations about: "theory of operator"

Showing result 1 - 5 of 177 swedish dissertations containing the words theory of operator.

  1. 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

  2. 2. Correlated Electronic Structure of Materials : Development and Application of Dynamical Mean Field Theory

    Author : Patrik Thunström; Olle Eriksson; Alexander Lichtenstein; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; DFT; DMFT; correlation; entanglement; Physics with spec. in Atomic; Molecular and Condensed Matter Physics; Fysik med inriktning mot atom- molekyl- och kondenserande materiens fysik;

    Abstract : This thesis is dedicated to the development, implementation and application of a combination of Density Functional Theory and Dynamical Mean Field Theory. The resulting program is shown through several examples to be a powerful and flexible tool for calculating the electronic structure of strongly correlated materials. READ MORE

  3. 3. On some topics in operator theory : An unfinished story about mathematical control

    Author : Eskil Rydhe; Harmonic Analysis and Applications; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Carleson embeddings; complex analysis; control theory; functional models; Hankel operators; harmonic analysis; operator theory; Triebel–Lizorkin spaces; vector-valued analytic functions;

    Abstract : This thesis considers differentiation of non-negative, fractional order, composed with Hardy spacetypeHankel operators. H2-boundedness is characterized in terms of a reproducing kernel thesis. READ MORE

  4. 4. Descriptive Set Theory and Applications

    Author : Joao Pedro Paulos; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Sets of Uniqueness; Operator U-sets; Thin Sets; Descriptive Set Theory; ; Operator U0-sets; Point Spectrum; Reflexivity; Fourier Algebra; Jamison sequences; Harmonic Analysis;

    Abstract : The systematic study of Polish spaces within the scope of Descriptive Set Theory furnishes the working mathematician with powerful techniques and illuminating insights. In this thesis, we start with a concise recapitulation of some classical aspects of Descriptive Set Theory which is followed by a succint review of topological groups, measures and some of their associated algebras. READ MORE

  5. 5. The complex Monge-Ampére operator on bounded hyperconvex domains

    Author : Per Åhag; Urban Cegrell; Norm Levenberg; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; currents; Dirichlet problem; hyperconvex domain; Perron-Bremermann envelope; pluripotential theory; plurisubharmonic function; Mathematical statistics; Matematisk statistik; Mathematical Statistics; matematisk statistik;

    Abstract : .... READ MORE