Sökning: "Schur polynomials"

Hittade 3 avhandlingar innehållade orden Schur polynomials.

  1. 1. Combinatorial Methods in Complex Analysis

    Detta är en avhandling från Stockholm : Department of Mathematics, Stockholm University

    Författare :Per Alexandersson; Stockholms universitet.; [2013]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; combinatorics; Schrödinger equation; Toeplitz matrix; sums of squares; Schur polynomials; matematik; Mathematics;

    Sammanfattning : 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. LÄS MER

  2. 2. Multiplier Sequences for Laguerre bases

    Detta är en avhandling från Stockholm : Department of Mathematics, Stockholm University

    Författare :Elin Ottergren; Stockholms universitet.; [2012]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stability preserving operator; orthogonal polynomials; multiplier sequences; matematik; Mathematics;

    Sammanfattning : Pólya and Schur completely characterized all real-rootedness preserving linear operators acting on the standard monomial basis in their famous work from 1914. The corresponding eigenvalues are from then on known as multiplier sequences. LÄS MER

  3. 3. Quantum many-body systems exactly solved by special functions

    Detta är en avhandling från Stockholm : KTH

    Författare :Martin Hallnäs; KTH.; [2007]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Quantum many-body systems; integrable systems; special functions; NATURAL SCIENCES Physics Other physics Mathematical physics; NATURVETENSKAP Fysik Övrig fysik Matematisk fysik;

    Sammanfattning : This thesis concerns two types of quantum many-body systems in one dimension exactly solved by special functions: firstly, systems with interactions localised at points and solved by the (coordinate) Bethe ansatz; secondly, systems of Calogero-Sutherland type, as well as certain recently introduced deformations thereof, with eigenfunctions given by natural many-variable generalisations of classical (orthogonal) polynomials. The thesis is divided into two parts. LÄS MER