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1. 1. Advanced Spectral Analysis with Applications

   Författare :Niclas Sandgren; Peter Stoica; Thomas L. Marzetta; Uppsala universitet; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; frequency-selective spectral analysis; damped sinusoidal model; prior knowledge; multichannel spectroscopy; phantom experimental data; in-vivo in-vitro data analysis; area-selective analysis; cepstrum thresholding; total-variance reduction; two-dimensional spectral estimation; spectral smoothing; irregular sampling; CARMA signals; Signal processing; Signalbehandling;

   Sammanfattning : Spectral analysis has advanced the last decades as a signal processing tool to extract significant information about certain properties of measured data. The practical use of spectral analysis techniques in time-series analysis has been emphasized in the immense amount of previous literature in the field and by a rapidly growing number of applications. LÄS MER

3. 2. Type Ia Supernova Cosmology : Quantitative Spectral Analysis

   Författare :Gastón Folatelli; Ariel Goobar; Enrico Cappellaro; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Supernova; Cosmology; Spectroscopy; Physics; Fysik;

   Sammanfattning : Type Ia supernovae have been successfully used as standardized candles to study the expansion history of the Universe. In the past few years, these studies led to the exciting result of an accelerated expansion caused by the repelling action of some sort of dark energy. LÄS MER

4. 3. Asymptotic and universal spectral estimates with applications in many-body quantum mechanics and spectral shape optimization

   Författare :Simon Larson; Ari Laptev; Stefan Steinerberger; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; shape optimization; semiclassical asymptotics; spectral inequalities; quantum mechanics; Mathematics; Matematik;

   Sammanfattning : 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. LÄS MER

5. 4. Spectral Estimation by Geometric, Topological and Optimization Methods

   Författare :Per Enqvist; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral Estimation; ARMA models; Covariance analysis; Cepstral analysis; Markov parameters; Global analysis; Convex Optimization; Continuation methods; Entropy maximization; Optimization; systems theory; Optimeringslära; systemteori;

   Sammanfattning : .... LÄS MER

7. 5. Spectral Inequalities and Their Applications in Quantum Mechanics

   Författare :Fabian Portmann; Ari Laptev; Robert Seiringer; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral inequalities; quantum mechanics; Hardy inequalities; Sobolev inequalities; Lieb-Thirring inequalities; stability of matter; Bose gases; Bose-Einstein condensation; Mathematics; Matematik; Fysik; Physics;

   Sammanfattning : The work presented in this thesis revolves around spectral inequalities and their applications in quantum mechanics.In Paper A, the ground state energy of an atom confined to two dimensions is analyzed in the limit when the charge of the nucleus Z becomes very large. LÄS MER