Search for dissertations about: "operator functions"

Showing result 6 - 10 of 136 swedish dissertations containing the words operator functions.

  2. 6. Boundary values of plurisubharmonic functions and related topics

    Author : Berit Kemppe; Urban Cegrell; Anders Fällström; Alexander Raskovskii; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Plurisubharmonic functions; boundary measures; boundary values; complex Monge-Ampère operator; weak*-convergence; Mathematical analysis; Analys; Mathematics; matematik;

    Abstract : This thesis consists of three papers concerning problems related to plurisubharmonic functions on bounded hyperconvex domains, in particular boundary values of such functions. The papers summarized in this thesis are:* Paper I Urban Cegrell and Berit Kemppe, Monge-Ampère boundary measures, Ann. Polon. Math. READ MORE

  4. 7. Semi-classical approximations of Quantum Mechanical problems

    Author : Ulf Karlsson; KTH; []
    Keywords : Schrödinger equation; semiclassical analysis; multi-well potential; potential wells; scale functions; spectral interval; Agmon metric; interaction matrix; hierarchical potential; Helmholtz operator; Fourier integral operator; global phase; hyperbolic;

    Abstract : .... READ MORE

  5. 8. The Dirac Equation: Numerical and Asymptotic Analysis

    Author : Hasan Almanasreh; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Dirac operator; eigenvalue problem; finite element method; spurious eigenvalues; Petrov-Galerkin; cubic Hermite basis functions; stability parameter; meshfree method; $hp$-cloud; intrinsic enrichment; G-convergence; $ Gamma$-convergence; scattering theory; identification; wave operator; stationary approach; Dirac operator;

    Abstract : The thesis consists of three parts, although each part belongs to a specific subject area in mathematics, they are considered as subfields of the perturbation theory. The main objective of the presented work is the study of the Dirac operator; the first part concerns the treatment of the spurious eigenvalues in the computation of the discrete spectrum. READ MORE

  6. 9. Boundary singularities of plurisubharmonic functions

    Author : Mårten Nilsson; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; pluripotential theory; envelope of plurisubharmonic functions; complex Monge-Ampère equation; Jensen measures;

    Abstract : We study the Perron–Bremermann envelope P(μ, φ):=sup{u(z) ; u ∈ PSH(Ω), (ddcu)n≥ μ, u^* ≤ φ} on a B-regular domain Ω. Such envelopes occupy a central position within pluripotential theory as they, for suitable μ and φ harmonic and continuous on the closure of Ω, constitute unique solutions to the Dirichlet problem for the complex Monge–Ampère operator. READ MORE

  7. 10. Weighted Bergman kernels and biharmonic Green functions

    Author : Stefan Jakobsson; Matematikcentrum; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; singularity resolution of Bergman kernels; Hadamard s variational formula; weighted Bergman kernel; weighted biharmonic Green function; Friedrichs operator; Plant biochemistry; Växtbiokemi;

    Abstract : The main theme of this thesis is the connection between weighted biharmonic Green functions and weighted Bergman kernels. In the first paper, which is a joint work with H. Hedenmalm and S. Shimorin, we prove that weighted biharmonic Green functions are positive for weights which satisfy a mean-value condition and whose logarithms are subharmonic. READ MORE