# 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

University dissertation from Centre for Mathematical Sciences, Lund University

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

University dissertation from Lund University, Faculty of Science, Centre for Mathematical Sciences

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

University dissertation from Mathematics Centre for Mathematical Sciences Lund University Lund

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

University dissertation from Centre for Mathematical Sciences, Lund University

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

University dissertation from Göteborg : Chalmers University of Technology

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