Sökning: "Harmonic Analysis and Applications"
Visar resultat 1 - 5 av 46 avhandlingar innehållade orden Harmonic Analysis and Applications.
1. On some topics in operator theory : An unfinished story about mathematical control
Sammanfattning : 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. LÄS MER
2. Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs
Sammanfattning : 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. LÄS MER
3. Spectra of elliptic operators and applications
Sammanfattning : 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. LÄS MER
4. Descriptive Set Theory and Applications
Sammanfattning : 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. LÄS MER
5. Machine Learning Survival Models : Performance and Explainability
Sammanfattning : 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. LÄS MER