Sökning: "ANALYTIC-FUNCTIONS"
Visar resultat 1 - 5 av 14 avhandlingar innehållade ordet ANALYTIC-FUNCTIONS.
1. Invariant Subspaces in Spaces of Analytic Functions
Sammanfattning : Let D be a finitely connected bounded domain with smooth boundary in the complex plane. We first study Banach spaces of analytic functions on D . The main result is a theorem which converts the study of hyperinvariant subspaces on multiply connected domains into the study of hyperinvariant subspaces on domains with fewer holes. LÄS MER
2. Sequences of analytic functions and their zeros
Sammanfattning : .... LÄS MER
3. Removable singularities for Hardy spaces of analytic functions
Sammanfattning : Let Ω ⊂ C be a non-empty open connected set and O < p min {1, p} then K is not removable. Several theorems about removability of sets lying on rectifiable curves and also conditions for removability of some planar self-similar Cantor sets are given... LÄS MER
4. Some Möbius Invariant Spaces of Analytic Functions. Spectrum of the Cesàro Operator
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
5. Extension of separately analytic functions and applications to mathematical tomography : characterizing the range of the exponential Radon transform
Sammanfattning : The principal problem that is dealt with in the thesis is to characterize the range of the exponential Radon transform for both constant attenuation and angle dependent attenuation (in the latter case we assume that the attenuation is a trigonometric polynomial). Such results are also of interest in applications such as ECT (Emission Computed Tomography). LÄS MER