Sökning: "Bergman kernels"

Visar resultat 1 - 5 av 9 avhandlingar innehållade orden Bergman kernels.

  1. 1. Polyanalytic Bergman Kernels

    Författare :Antti Haimi; Håkan Hedenmalm; Joaquim Ortega Cerdà; KTH; []
    Nyckelord :Polyanalytic function; determinantal point process; Bergman kernel;

    Sammanfattning : The thesis consists of three articles concerning reproducing kernels ofweighted spaces of polyanalytic functions on the complex plane. In the first paper, we study spaces of polyanalytic polynomials equipped with a Gaussianweight. In the remaining two papers, more general weight functions are considered. LÄS MER

  3. 2. Hydrothermal Processing of Cereals Optimal Conditions for Phytete Degradation and Myo-Inositol Formation. Effect on Phytase Activity and Mineral Absorption

    Författare :Eva-Lotta Bergman; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; rye; rice; barley; wheat; myo-inositol; calcium absorption; phytase; hydrothermal processing; zinc absorption; phytate;

    Sammanfattning : The aim of this thesis was to optimise a hydrothermal process to degrade phytate (myo-inositol hexaphosphate), increase the level of free myo-inositol and preserve phytase activity in cereals with the purpose to achieve products with improved mineral bioavailability. Phytate is known to impair mineral absorption and myo-inositol is considered to be a semi-essential nutrient. LÄS MER

  4. 3. Weighted Bergman kernels and biharmonic Green functions

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

    Sammanfattning : 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. LÄS MER

  5. 4. Conformal Maps, Bergman Spaces, and Random Growth Models

    Författare :Alan Sola; Haakan Hedenmalm; Robert Berman; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Conformal maps; Bergman kernels; planar growth models; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consists of an introduction and five research papers on topics related to conformal mapping, the Loewner equation and its applications, and Bergman-type spaces of holomorphic functions. The first two papers are devoted to the study of integral means of derivatives of conformal mappings. LÄS MER

  7. 5. Reproducing kernels and potential theory for the Bergman spaces

    Författare :Yolanda Perdomo Gallipoli; Matematikcentrum; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; weighted biharmonic Green function Gaussian curvature; Naturvetenskap; harmonic compensator; Natural science; weighted super-biharmonic function; potential metric; mean value property; weighted Bergman kernel;

    Sammanfattning : The role of weighted biharmonic Green functions in weighted Bergman spaces was first studied in the beginning of the 50's by Paul Garabedian. In 1951 he showed that they are closely related to reproducing kernel functions of weighted Bergman spaces. LÄS MER