Sökning: "Alexandru Aleman"

Hittade 3 avhandlingar innehållade orden Alexandru Aleman.

1. 1. Integral representations of Herglotz-Nevanlinna functions

   Författare :Mitja Nedic; Annemarie Luger; Alexandru Aleman; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; integral representations; Herglotz-Nevanlinna functions; several complex variables; Mathematics; matematik;

   Sammanfattning : In this thesis, we study integral representations of Herglotz-Nevanlinna functions, that is to say holomorphic functions defined on a product of several copies of the complex upper half-plane having non-negative imaginary part. The manuscript is divided into three parts, beginning with a general introduction followed by two papers. LÄS MER

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

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

   Sammanfattning : 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. LÄS MER

4. 3. 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

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

   Sammanfattning : 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. LÄS MER