Search for dissertations about: "trace formula"

Showing result 1 - 5 of 14 swedish dissertations containing the words trace formula.

  2. 1. Traces of Hecke operators on Drinfeld modular forms via point counts

    Author : Sjoerd De Vries; Jonas Bergström; Gunther Cornelissen; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Drinfeld modules; Drinfeld modular forms; trace formula; Ramanujan bound; slopes; matematik; Mathematics;

    Abstract : In this licentiate thesis, we study the action of Hecke operators on Drinfeld cusp forms via the theory of crystals over function fields. The thesis contains one preliminary chapter, in which we recall some basic theory of Drinfeld modules and Drinfeld modular forms, as well as the Eichler-Shimura theory developed by Böckle. READ MORE

  4. 2. Inverse Problems for Graph Laplacians

    Author : Marlena Nowaczyk; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; Laplace operator; Trace formula; Quantum graphs;

    Abstract : This thesis is devoted to inverse spectral problems for Laplace operators on metric graphs, and it is based on the following papers: Paper I - P. Kurasov and M. Nowaczyk 2005 Inverse spectral problem for quantum graphs J. Phys. READ MORE

  5. 3. Extremal eigenvalues and geometry of quantum graphs

    Author : Andrea Serio; Pavel Kurasov; Annemarie Luger; Evans Harrell; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; quantum graphs; spectral estimates; trace formula; Euler characteristic; Mathematics; matematik;

    Abstract : This thesis consists of four papers concerning topics in the spectral theory of quantum graphs, which are differential operators on metric graphs.In paper I we present a family of graphs with an arbitrary number of cycles for which a certain eigenvalue upper estimate is sharp. READ MORE

  6. 4. 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

  7. 5. Studies in the analytic and spectral theory of automorphic forms

    Author : Andreas Strömbergsson; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Selberg trace formula; Fuchsian group; Maass waveforms; modular correspondence; Hecke operator; spectral correspondence; newform; L-function; closed horocycle; equidistribution; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : .... READ MORE