Search for dissertations about: "spectral categories"
Showing result 1 - 5 of 23 swedish dissertations containing the words spectral categories.
-
1. Model categories, pro-categories and functors
Abstract : This thesis consists of five papers. The first three are concerned with various model structures on ind- and pro-categories, while the last two are concerned with the homotopy theory of functors.In Paper I, a general method for constructing simplicial model structures on ind- and pro-categories is described and its basic properties are studied. READ MORE
-
2. Asymptotic and universal spectral estimates with applications in many-body quantum mechanics and spectral shape optimization
Abstract : This thesis consists of eight papers primarily concerned with the quantitative study of the spectrum of certain differential operators. The majority of the results split into two categories. READ MORE
-
3. Spectral Analysis of Nonuniformly Sampled Data and Applications
Abstract : Signal acquisition, signal reconstruction and analysis of spectrum of the signal are the three most important steps in signal processing and they are found in almost all of the modern day hardware. In most of the signal processing hardware, the signal of interest is sampled at uniform intervals satisfying some conditions like Nyquist rate. READ MORE
-
4. Representation theorems for abelian and model categories
Abstract : In this PhD thesis we investigate a representation theorem for small abelian categories and a representation theorem for left proper, enriched model categories, with the purpose of describing them concretely in terms of specific well-known categories.For the abelian case, we study the constructivity issues of the Freyd-Mitchell Embedding Theorem, which states the existence of a full embedding from a small abelian category into the category of modules over an appropriate ring. READ MORE
-
5. Optical Studies of Materials for Spectral Design
Abstract : Optical material properties have been studied in a wide wavelength range. Theaim is future use of spectral design for camou age. The main characterization techniques used in this work are Refection Spectroscopy, Scatterometry (BRDF) and Mueller Matrix Ellipsometry. READ MORE