Search for dissertations about: "Harmonic Analysis And Applications"

Showing result 1 - 5 of 46 swedish dissertations containing the words Harmonic Analysis And Applications.

2. 1. On some topics in operator theory : An unfinished story about mathematical control

   Author : Eskil Rydhe; Harmonic Analysis and Applications; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Carleson embeddings; complex analysis; control theory; functional models; Hankel operators; harmonic analysis; operator theory; Triebel–Lizorkin spaces; vector-valued analytic functions;

   Abstract : This thesis considers differentiation of non-negative, fractional order, composed with Hardy spacetypeHankel operators. H2-boundedness is characterized in terms of a reproducing kernel thesis. READ MORE

4. 2. Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs

   Author : Staffan Lundberg; Norway Narvik UiT The Arctic University of Norway Department of Computer Science and Computational Engineering Faculty of Science and Technology; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Operators; Hardy Operators; Potential Operators; Singular Operators; Function Spaces; Morrey Spaces; H¨older Spaces; Partial Differential Equations; Inequalities; Hardy Type Inequalities; Weights; Applications; Matematik; Mathematics;

   Abstract : The study in this PhD thesis aims at development of certain mathematical methods used in applications, in particular, in the study of regularity properties of solutions in various mathematical models described by Partial Differential Equations (PDEs). To this end, we study various operators of harmonic analysis in certain function spaces, since solutions to many PDEs may be expressed in terms of such operators. READ MORE

5. 3. Spectra of elliptic operators and applications

   Author : Medet Nursultanov; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Helmholtz and Maxwell s equations; functional calculus; electromagnetic waveguide; acoustic waveguide; Sturm-Liouville operator; singular potential; asymptotics of eigenvalues; point interactions.;

   Abstract : In this thesis we consider several problems related to elliptic equations. Namely, we investigate Helmholtz and Maxwell's equations in Paper I and Sturm-Liouville spectral problem in Papers II,III. In Paper I we study time-harmonic electromagnetic and acoustic waveguide, modeled by an in�nite cylinder with a non-smooth cross section. READ MORE

6. 4. Descriptive Set Theory and Applications

   Author : Joao Pedro Paulos; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Sets of Uniqueness; Operator U-sets; Thin Sets; Descriptive Set Theory; ; Operator U0-sets; Point Spectrum; Reflexivity; Fourier Algebra; Jamison sequences; Harmonic Analysis;

   Abstract : The systematic study of Polish spaces within the scope of Descriptive Set Theory furnishes the working mathematician with powerful techniques and illuminating insights. In this thesis, we start with a concise recapitulation of some classical aspects of Descriptive Set Theory which is followed by a succint review of topological groups, measures and some of their associated algebras. READ MORE

7. 5. Machine Learning Survival Models : Performance and Explainability

   Author : Abdallah Alabdallah; Mattias Ohlsson; Thorsteinn Rögnvaldsson; Sepideh Pashami; Erik Frisk; Högskolan i Halmstad; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Survival Analysis; Explainable Artificial Intelligence; Survival Patterns; Counterfactual Explanations; Evaluation Metrics; Concordance Index;

   Abstract : Survival analysis is an essential statistics and machine learning field in various critical applications like medical research and predictive maintenance. In these domains understanding models' predictions is paramount. READ MORE