E-Dissertationen: Search
Now showing items 1-8 of 8
Adaptive Scattered Data Fitting with Tensor Product Spline-Wavelets
(2005)
The core of the work we present here is an algorithm that constructs a least squares approximation to a given set of unorganized points. The approximation is expressed as a linear combination of particular B-spline wavelets. ...
On affine Deligne-Lusztig varieties for GLn
(2005)
In the first part of this thesis we study the global structure of moduli spaces of quasi-isogenies of p-divisible groups introduced by Rapoport and Zink. We determine their dimensions and their sets of connected components ...
The supersingular locus of the Shimura variety of GU(1,s)
(2005)
In this paper I study the supersingular locus of the reduction modulo p of the Shimura variety of GU(1,s) in the case of an inert prime p. Using Dieudonné theory I define a stratification of the ...
Some Applications of the Weighted Combinatorial Laplacian
(2005)
The weighted combinatorial Laplacian of a graph is a symmetric matrix which is the discrete analogue of the Laplacian operator. In this thesis, we will study a new application of this matrix to matching theory yielding a ...
Fast Optimised Wavelet Methods for Control Problems Constrained by Elliptic PDEs
(2005)
In this thesis, a wavelet method for the numerical solution of an optimal control problem constrained by a linear elliptic partial differential equation is developed. The particular challenge here lies in considering and ...
Gelfand pairs
(2005)
Let K be a compact subgroup of a real Lie group G. The homogeneous space G/K is called commutative or the pair (G, K) is called a Gelfand pair if the algebra of G-invariant differential operators on G/K is ...
Harmonic Maps into Trees and Graphs: Analytical and Numerical Aspects
(2005)
The main topic of this work is the definition and investigation of a nonlinear energy for maps with values in trees and graphs and the analysis of the corresponding nonlinear Dirichlet problem. The nonlinear energy is ...
Gluing Spaces and Analysis
(2005)
In the first part of this work we study the gluing of metric measure spaces. The gluing is defined by a bilipschitz map which identifies the gluing sets. The new metric is given by the minimal length of all possible paths ...