Search for dissertations about: "Per Alexandersson"

Found 2 swedish dissertations containing the words Per Alexandersson.

  1. 1. Combinatorial Methods in Complex Analysis

    University dissertation from Stockholm : Department of Mathematics, Stockholm University

    Author : Per Alexandersson; Boris Shapiro; Alexandre Eremenko; [2013]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; combinatorics; Schrödinger equation; Toeplitz matrix; sums of squares; Schur polynomials; matematik; Mathematics;

    Abstract : The theme of this thesis is combinatorics, complex analysis and algebraic geometry. The thesis consists of six articles divided into four parts.Part A:Spectral properties of the Schrödinger equationThis part consists of Papers I-II, where we study a univariate Schrödinger equation with a complex polynomial potential. READ MORE

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

    University dissertation from Stockholm : Department of Mathematics

    Author : Per Alexandersson; Boris Shapiro; Ilpo Laine; [2010]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; schroedinger; even spectral determinant polynomial potential eigenvalue; MATHEMATICS Algebra; geometry and mathematical analysis Mathematical analysis; MATEMATIK Algebra; geometri och analys Analys; Mathematics; matematik;

    Abstract : 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. READ MORE