Sökning: "Trace formula"
Visar resultat 1 - 5 av 15 avhandlingar innehållade orden Trace formula.
1. Traces of Hecke operators on Drinfeld modular forms via point counts
Sammanfattning : In this licentiate thesis, we study the action of Hecke operators on Drinfeld cusp forms via the theory of crystals over function fields. The thesis contains one preliminary chapter, in which we recall some basic theory of Drinfeld modules and Drinfeld modular forms, as well as the Eichler-Shimura theory developed by Böckle. LÄS MER
2. Inverse Problems for Graph Laplacians
Sammanfattning : This thesis is devoted to inverse spectral problems for Laplace operators on metric graphs, and it is based on the following papers: Paper I - P. Kurasov and M. Nowaczyk 2005 Inverse spectral problem for quantum graphs J. Phys. LÄS MER
3. Extremal eigenvalues and geometry of quantum graphs
Sammanfattning : This thesis consists of four papers concerning topics in the spectral theory of quantum graphs, which are differential operators on metric graphs.In paper I we present a family of graphs with an arbitrary number of cycles for which a certain eigenvalue upper estimate is sharp. LÄS MER
4. Resonances of Dirac Operators
Sammanfattning : This thesis consists of a summary of four papers dealing with resonances of Dirac operators on Euclidean 3-space. In Paper I we show that the Complex Absorbing Potential (CAP) method is valid in the semiclassical limit for resonances sufficiently close to the real line if the potential is smooth and compactly supported. LÄS MER
5. Studies in the analytic and spectral theory of automorphic forms
Sammanfattning : .... LÄS MER