Sökning: "Toeplitz operators"

Visar resultat 1 - 5 av 6 avhandlingar innehållade orden Toeplitz operators.

  1. 1. Generalizations of Szego Limit Theorem : Higher Order Terms and Discontinuous Symbols

    Författare :Dimitri Gioev; KTH; []
    Nyckelord :Regularized determinants; Toeplitz operators; Wiener-Hopf operators; pseudodifferential operators PsDO on manifolds; asymptotics; general theory of PsDO; combinatorial identities; random walks; combinatorial probability; symmetric functions;

    Sammanfattning : .... LÄS MER

  3. 2. Index theory in geometry and physics

    Författare :Magnus C H T Goffeng; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Index theory; Cyclic cohomology; Regularized index formulas; Toeplitz operators; Pseudo-differential operators; Quantum Hall effect; Toeplitz operators;

    Sammanfattning : This thesis contains three papers in the area of index theory and its applications in geometry and mathematical physics. These papers deal with the problems of calculating the charge deficiency on the Landau levels and that of finding explicit analytic formulas for mapping degrees of Hölder continuous mappings. LÄS MER

  4. 3. Hankel operators and atomic decompositions in vector-valued Bergman spaces

    Författare :Olivia Constantin; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Hankel operators; similarity to contractions; atomic decompositions;

    Sammanfattning : Abstract This thesis consists of the following three papers Paper I. Hankel operators on Bergman spaces and similarity to contractions. In this paper we consider Foguel-Hankel operators on vector-valued Bergman spaces. LÄS MER

  5. 4. Hankel operators and Plancherel formula

    Författare :Genkai Zhang; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : We consider the natural unitary action of the group SU(d, 1) on the Hilbert space L2(B,d/j,\), where B is the unit ball of C , dfi\ is the measure K(z, z)~~*+ï dm(z), and K(z, z) the reproducing kernel of the Bergman space on B. For A >—1 and not an integer, a Plancherel formula is proved for this action and, in particular, an explicit formula for the correponding Plancherel measure is found. LÄS MER

  7. 5. Continuity and Positivity Problems in Pseudo-differential Calculus

    Författare :Joachim Toft; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; funktionsanalys; fourieranalys; Serier; functional analysis; Fourier analysis; Series; Entropy.; Young s inequality; Twisted convolution; Schatten-von Neumann; Lower bounds; Weyl Calculus; Pseudo-differential Operqator; Continuity; Positivity;

    Sammanfattning : The paper deals with various positivity and continuity questions arising in the Weyl calculus of pseudo-differential operators. Let W be a symplectic vector space. LÄS MER