Search for dissertations about: "Lizorkin theorem"
Found 4 swedish dissertations containing the words Lizorkin theorem.
-
1. Some new Fourier multiplier results of Lizorkin and Hörmander types
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
-
2. Some new Lizorkin multiplier theorems for Fourier series and transforms
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
-
3. Wavelets and Local Regularity
Abstract : We treat a number of topics related to wavelets and the description of local regularity properties of functions. First we prove several different exact characterizations of pointwise Hölder spaces, and use these characterizations to improve a theorem by Jaffard on Hölder exponents. READ MORE
-
4. Wavelet and gabor frames and bases : approximation, sampling and applications
Abstract : This thesis is devoted to both theoretical and practical aspects of applied mathematics. It consists of three main parts: Part I consists of an application-oriented introduction to the theory of frames and bases for separable Hilbert spaces, as well as an introduction to the main tools used in the remaining Chapters: Time-frequency analysis, Gabor frames and wavelet frames. READ MORE
