Sökning: "holomorphic functions"

Visar resultat 21 - 25 av 32 avhandlingar innehållade orden holomorphic functions.

  1. 21. Positive vector bundles in complex and convex geometry

    Författare :Hossein Raufi; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Nakano positivity; vanishing theorems; Prekopa theorem; Griffiths positivity; convex geometry; Ohsawa-Takegoshi extension theorem; dbar-equation; L^2-estimates; singular hermitian metrics; holomorphic vector bundles; holomorphic vector bundles; dbar-equation; L^2-estimates; singular hermitian metrics; Griffiths positivity; Nakano positivity; vanishing theorems; Ohsawa-Takegoshi extension theorem; convex geometry; Prekopa theorem;

    Sammanfattning : This thesis concerns various aspects of the geometry of holomorphic vector bundles and their analytical theory which all, vaguely speaking, are related to the notion of positive curvature in general, and L^2-methods for the dbar-equation in particular. The thesis contains four papers. LÄS MER

  3. 22. Some Applications of Integral Formulas in Several Complex Variables

    Författare :Jörgen Boo; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The thesis gives three examples of how integral formulas can be used in complex analysis. We say that a set S in Cn is quadratically convex if through any point in its complement there is a quadratic hypersurface that does not intersect S. LÄS MER

  4. 23. Explicit Loewner flows and their geometry

    Författare :Eleftherios Theodosiadis; Alan Sola; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this Licentiate Thesis, we address problems related to partialdifferential equations for Loewner Theory. We studymulti-slit Loewner flows in the unit disc and the upper half planerespectively. LÄS MER

  5. 24. Some Applications of Integral Formulas in Several Complex Variables

    Författare :Jörgen Boo; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The thesis gives three examples of how integral formulas can be used in complex analysis. We say that a set S in Cn is quadratically convex if through any point in its complement there is a quadratic hypersurface that does not intersect S. LÄS MER

  7. 25. 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