Sökning: "spectral theory"

Visar resultat 1 - 5 av 202 avhandlingar innehållade orden spectral theory.

  1. 1. On the asymptotic spectral distribution of random matrices : Closed form solutions using free independence

    Författare :Jolanta Pielaszkiewicz; Dietrich von Rosen; Martin Singull; Maciej A. Nowak; Jolanta Maria Pielaszkiewicz; Linköpings universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; spectral distribution; R-transform; Stieltjes transform; free probability; freeness; asymptotic freeness; Spectral distribution; Free probability; Freeness; Asymptotic freeness;

    Sammanfattning : The spectral distribution function of random matrices is an information-carrying object widely studied within Random matrix theory. In this thesis we combine the results of the theory together with the idea of free independence introduced by Voiculescu (1985). LÄS MER

  2. 2. 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 :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; shape optimization; semiclassical asymptotics; spectral inequalities; quantum mechanics; Matematik; Mathematics;

    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

  3. 3. Spectral Image Processing with Applications in Biotechnology and Pathology

    Författare :Milan Gavrilovic; Carolina Wählby; Ewert Bengtsson; Ingrid Carlbom; Robert Murphy; Uppsala universitet; []
    Nyckelord :ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; color theory; light microscopy; spectral imaging; image analysis; digital image processing; mathematical modeling; estimation; noise models; spectral decomposition; color decomposition; colocalization; cross-talk; autofluorescence; tissue separation; prostate cancer; biomedical applications; molecular biotechnology; histopathology; Computerized Image Processing; Datoriserad bildbehandling;

    Sammanfattning : Color theory was first formalized in the seventeenth century by Isaac Newton just a couple of decades after the first microscope was built. But it was not until the twentieth century that technological advances led to the integration of color theory, optical spectroscopy and light microscopy through spectral image processing. LÄS MER

  4. 4. Spectral Moment Problems : Generalizations, Implementation and Tuning

    Författare :Enrico Avventi; Anders Lindquist; Giorgio Picci; KTH; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Optimization; systems theory; Optimeringslära; systemteori;

    Sammanfattning : Spectral moment interpolation find application in a wide array of use cases: robust control, system identification, model reduction to name the most notable ones. This thesis aims to expand the theory of such methods in three different directions. The first main contribution concerns the practical applicability. LÄS MER

  5. 5. ROBUST DETECTION AND SPECTRAL ANALYSIS OF SIGNALS WITH APPLICATIONS IN SPECTROSCOPY

    Författare :Naveed Butt; Matematisk statistik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Detection; NQR; NMR; Raman Spectroscopy; Spectral Analysis.;

    Sammanfattning : Modern spectroscopic techniques, such as nuclear quadrupole resonance (NQR), nuclear magnetic resonance (NMR), and Raman spectroscopy, rely heavily on statistical signal processing systems for decision making and information extraction. The first part of this thesis introduces novel robust algorithms for detection, estimation, and classification of signals obtained through these spectroscopic techniques. LÄS MER