Search for dissertations about: "Mathematics Fourier multipliers"

Found 3 swedish dissertations containing the words Mathematics Fourier multipliers.

  2. 1. Some new Fourier multiplier results of Lizorkin and Hörmander types

    Author : Lyazzat Sarybekova; Michael L. Goldman; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Fourier multipliers; Lizorkin theorem; Hörmander theorem; regular system; Mathematics; Matematik; Mathematics; Matematik;

    Abstract : This PhD Thesis is devoted to the study of Fourier series and Fourier transform multipliers and it contains four papers (papers A - D) together with an introduction, which put these papers into a general frame. This extensive introduction can also be seen as an independent description of this important area including the historical development and the most important results. READ MORE

  4. 2. Invariant Subspaces in Spaces of Analytic Functions

    Author : Ali Abkar; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; functional analysis; Series; Fourier analysis; weighted Bergman space.; super-biharmonic function; quasi-Banach space of analytic functions; index; multiplier module homomorphism; multiplier; Banach space of analytic functions; hyperinvariant subspace; Serier; fourieranalys; funktionsanalys;

    Abstract : Let D be a finitely connected bounded domain with smooth boundary in the complex plane. We first study Banach spaces of analytic functions on D . The main result is a theorem which converts the study of hyperinvariant subspaces on multiply connected domains into the study of hyperinvariant subspaces on domains with fewer holes. READ MORE

  5. 3. Some new Lizorkin multiplier theorems for Fourier series and transforms

    Author : Lyazzat Sarybekova; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This Licentiate Thesis is devoted to the study of Fourier series and Fourier transform multipliers and contains three papers (papers A - C) together with an introduction, which put these papers into a general frame. In paper A a generalization of the Lizorkin theorem on Fourier multipliers is proved. READ MORE