Sökning: "Generalized Titchmarsh-Weyl function"

Hittade 2 avhandlingar innehållade orden Generalized Titchmarsh-Weyl function.

  1. 1. Generalized Titchmarsh-Weyl functions and super singular perturbations

    Författare :Christoph Neuner; Annemarie Luger; Pavel Kurasov; B. Malcolm Brown; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Generalized Titchmarsh-Weyl function; Super singular perturbations; Strongly singular potentials;

    Sammanfattning : In this thesis we study certain singular Sturm-Liouville differential expressions from an operator theoretic point of view.In particular we are interested in expressions that involve strongly singular potentials as introduced by Gesztesy and Zinchenko. LÄS MER

  3. 2. Titchmarsh-Weyl M-function asymptotics and some results in the inverse spectral theory for vector-valued Sturm-Liouville equations and a certain higher order ordinary differential equation

    Författare :Erik Andersson; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Functions; differential equations; Funktioner; differentialekvationer; Paley-Wiener.; The generalized Fourier transform; A certain higher order ordinary differential equation; Borg-Marchenko theorems; Vector-valued Sturm-Liouville equations; Inverse spectral theory; Titchmarsh-Weyl M-function asymptotics; Asymptotics of solutions; Spectral measure;

    Sammanfattning : This discourse is constituted by two separate reprots, where the first one offers an elementary deduction of the leading order term asymptotics for the Titchmarsh-Weyl M-function corresponding to a vector-valued Sturm-Liouville equation of the form -(PU')'+QU=zu, xin[0,b), with P^{-1},W,Q being hermitean with locally integrable entries; and under some additional conditions on P^{-1} and W. In the special case of P=W=I, we give some further asymptotic results for the same M-function. LÄS MER