Browsing 2013 MU dissertations  Freely available online by Thesis Department "Mathematics (MU)"
Now showing items 15 of 5

Frames and projections
(University of MissouriColumbia, 2013)In this dissertation we explore several ways in which the concept of projections arise infinite frame theory. In the first chapter we show that the Paulsen problem from frame theory is equivalent to a long standing open ... 
Fusion frame constructions and frame partitions
(University of MissouriColumbia, 2013)Fusion frames consist of a sequence of subspaces from a Hilbert space and corresponding positive weights so that the sum of weighted orthogonal projections onto these subspaces is an invertible operator on the space. Despite ... 
Limit of many molecules dynamics with rigorous macroscopic results
(University of MissouriColumbia, 2013)The thesis builds on recent ideas that combine work by C.B. Morrey (1955) and D.W. Jepsen & D. ter Haar (1962) with more recent analytic techniques: measure disintegration, PDEs for measures, etc. (M.I. Vishik & A.V. ... 
Stability estimates for semigroups and partly parabolic reaction diffusion equations
(University of MissouriColumbia, 2013)The purpose of my dissertation is the application of the methods of abstract theory of strongly continuous operator semigroups (and of evolution semigroups in particular) to study of the spectral properties of a class of ... 
Stochastically perturbed NavierStokes system on the rotating sphere
(University of MissouriColumbia, 2013)We show the existence and uniqueness of an invariant measure for the kickforced NavierStokes system on the 2dimensional sphere, first without deterministic force and then with a timeindependent deterministic force. The ...