Sökning: "eigenfunctions"

Visar resultat 1 - 5 av 18 avhandlingar innehållade ordet eigenfunctions.

  1. 1. Heterogeneous Materials - Diffusion, Laplace Spectrum, and Nuclear Magnetic Resonance

    Författare :Matias Nordin; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; eigenfunctions; eigenvalues; propagator; diffusion; Laplace operator; Nuclear Magnetic Resonance;

    Sammanfattning : In this thesis diffusion in heterogeneous materials is studied using spectral analysisof the Laplace operator. Relations to the effective diffusion constant and therelaxation rate of the time-dependent diffusion coefficient for porous systems arederived from the Laplace operator’s spectrum. LÄS MER

  3. 2. Boundary behaviour of eigenfunctions for the hyperbolic Laplacian

    Författare :Martin Brundin; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : .... LÄS MER

  4. 3. Studies on boundary values of eigenfunctions on spaces of constant negative curvature

    Författare :Pierre Bäcklund; Andreas Juhl; Andreas Strömbergsson; Genkai Zhang; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Hyperbolic space; anti de Sitter space; spectral geometry; scattering theory; analysis on real and complex Lie groups; intertwining operators; Verma modules; analysis on homogeneous spaces; conformal differential geometry; Selberg zeta functions; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

    Sammanfattning : This thesis consists of two papers on the spectral geometry of locally symmetric spaces of Riemannian and Lorentzian signature. Both works are concerned with the idea of relating analysis on such spaces to structures on their boundaries.The first paper is motivated by a conjecture of Patterson on the Selberg zeta function of Kleinian groups. LÄS MER

  5. 4. Problems in Number Theory related to Mathematical Physics

    Författare :Rikard Olofsson; Pär Kurlberg; Nalini Anantharaman; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; number theory; mathetical physics; local zeta functions; cat maps; Beurling primes; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consists of an introduction and four papers. All four papers are devoted to problems in Number Theory. In Paper I, a special class of local ζ-functions is studied. The main theorem states that the functions have all zeros on the line Re(s)=1/2. LÄS MER

  7. 5. On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential

    Författare :Per Alexandersson; Boris Shapiro; Ilpo Laine; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; schroedinger; even spectral determinant polynomial potential eigenvalue; Mathematical analysis; Analys; Mathematics; matematik;

    Sammanfattning : In this thesis, we generalize a recent result of A. Eremenko and A. Gabrielov on irreducibility of the spectral discriminant for the Schroedinger equation with quartic potentials. LÄS MER