Sökning: "harmonic functions"

Visar resultat 11 - 15 av 68 avhandlingar innehållade orden harmonic functions.

  1. 11. Many-photon effects in time-resolved second harmonic generation from systems in optical cavities

    Författare :Megha Gopalakrishna; Matematisk fysik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Second harmonic generation; Cavity optics; Non-linear optics; Cavity leakage; Ultracold atoms; Dicke model; Exact diagonalization; Non-equilibrium Green s functions; Fysicumarkivet A:2024:Gopalakrishna;

    Sammanfattning : Second harmonic generation is popular due to its numerous applications in different technologies dealing with multiple fields of science. The rapid technical advancement with the second harmonic generation demands parallel development in the theoretical understanding. LÄS MER

  3. 12. On estimates of constants for maximal functions

    Författare :Alexander Iakovlev; Jan-Ofov Strömberg; Tuomas Hytönen; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; maximal function; harmonic analysis;

    Sammanfattning : In this work we will study Hardy-Littlewood maximal function and maximal operator, basing on both classical and most up to date works. In the first chapter we will give definitions for different types of those objects and consider some of their most important properties. LÄS MER

  4. 13. Control and Analysis of Pulse-Modulated Systems

    Författare :Stefan Almér; Ulf Jönsson; Gilead Tadmor; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Pulse-width modulation; Periodic systems; Stability analysis; Harmonic analysis; Lyapunov methods; Dynamic phasors; Harmonic transfer function; Switched mode power converters; Sampled data modeling; H-infinity synthesis; Optimization; systems theory; Optimeringslära; systemteori;

    Sammanfattning : The thesis consists of an introduction and four appended papers. In the introduction we give an overview of pulse-modulated systems and provide a few examples of such systems. Furthermore, we introduce the so-called dynamic phasor model which is used as a basis for analysis in two of the appended papers. LÄS MER

  5. 14. Some Resolvent Estimates in Harmonic Analysis

    Författare :Anders Dahlner; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; field theory; Number Theory; algebra; algebraic geometry; Talteori; group theory; Tauberian theorem. Quantitative inversion. Cesaro operator. Bishops property beta.; algebraisk geometri; fältteori; gruppteori;

    Sammanfattning : This thesis contains three papers about three different estimates of resolvents in harmonic analysis. These papers are: Paper 1. ``A Wiener tauberian theorem for weighted convolution algebras of zonal functions on the automorphism group of the unit disc'' Paper 2. ``Uniform spectral radius and compact Gelfand transform'' Paper 3. LÄS MER

  7. 15. Weighted Bergman kernels and biharmonic Green functions

    Författare :Stefan Jakobsson; Matematikcentrum; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; singularity resolution of Bergman kernels; Hadamard s variational formula; weighted Bergman kernel; weighted biharmonic Green function; Friedrichs operator; Plant biochemistry; Växtbiokemi;

    Sammanfattning : The main theme of this thesis is the connection between weighted biharmonic Green functions and weighted Bergman kernels. In the first paper, which is a joint work with H. Hedenmalm and S. Shimorin, we prove that weighted biharmonic Green functions are positive for weights which satisfy a mean-value condition and whose logarithms are subharmonic. LÄS MER