Code
01J04017
Duration
01 October 2017 → 30 September 2021
Funding
Regional and community funding: Special Research Fund
Promotor
Research disciplines
-
Natural sciences
- Number theory
- Functional analysis
- Harmonic analysis on Euclidean spaces
Keywords
wavelet analysis
multifractal behavior
regularity theory
lacunary Fourier series
function spaces
Project description
The project aims to develop new wavelet tool in the analysis of various problems from classical and functional analysis. Our specific objectives are to:
• Reveal the multifractal nature of lacunary Fourier series from classical analysis.
• Give a wavelet description of ultradifferentiability.
• Characterize generalized Besov spaces in terms of the wavelet transform.
• Obtain applications in regularity theory for Colombeau generalized functions.