Search for dissertations about: "vector-valued analytic functions"

Found 5 swedish dissertations containing the words vector-valued analytic functions.

  1. 1. Articles on Potential Theory, Functional Analysis and Hankel Forms

    Author : Karl-Mikael Perfekt; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Neumann-Poincare operator; layer potential; Lipschitz; spectrum; bidual; predual; distance; BMO; Hankel form; Carleson embedding; vector-valued.;

    Abstract : Paper I: Perfekt, K.-M. and Putinar, M., Spectral bounds for the Neumann-Poincaré operator on planar domains with corners, to appear in J. READ MORE

  2. 2. On some topics in operator theory : An unfinished story about mathematical control

    Author : Eskil Rydhe; Harmonic Analysis and Applications; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Carleson embeddings; complex analysis; control theory; functional models; Hankel operators; harmonic analysis; operator theory; Triebel–Lizorkin spaces; vector-valued analytic functions;

    Abstract : This thesis considers differentiation of non-negative, fractional order, composed with Hardy spacetypeHankel operators. H2-boundedness is characterized in terms of a reproducing kernel thesis. READ MORE

  3. 3. Some Möbius Invariant Spaces of Analytic Functions. Spectrum of the Cesàro Operator

    Author : Anna-Maria Persson; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; subdecomposable; Cesàro operator; atomic decompositions; Hankel operators; duality; integral estimates; Möbius invariant spaces of analytic functions; growth estimates;

    Abstract : This thesis consists of three papers in which different topics in spaces of analytic functions are considered. These papers are: I. "Estimates in Möbius Invariant Spaces of Analytic Functions." II. READ MORE

  4. 4. Topics in Complex Analysis and Operator Theory I. The shift operator on spaces of vector-valued analytic functions II. Fatou-type theorems for general approximate identities III. Preduals of Q_p-spaces

    Author : Marcus Carlsson; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Qp-spaces; Non-tangential limits; Shift operator; Mathematics; Matematik;

    Abstract : This thesis consists of six articles on three different subjects in the area of complex analysis, operator theory and harmonic analysis. Part I - "The Shift Operator on Spaces of Vector-valued Analytic Functions" consists of three closely connected articles that investigate certain operators in the Cowen-Douglas class with spectrum D - the unit disc, or equivalently, the shift operator M_z (multiplication by $z$) on Hilbert spaces of vector-valued analytic functions on D. READ MORE

  5. 5. Residue Currents and their Annihilator Ideals

    Author : Elizabeth Wulcan; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; residue currents; Bochner-Martinelli formula; ideals of holomorphic functions; monomial ideals; coherents sheaves; free resolutions of modules; cellular resolutions; coherents sheaves;

    Abstract : This thesis presents results in multidimensional residue theory. From a generically exact complex of locally free analytic sheaves $\mathcal C$ we construct a vector valued residue current $R^\mathcal C$, which in a sense measures the exactness of $\mathcal C$. READ MORE