Project: Wavelet methods in classical and functional analysis
2017-10-01 – 2021-09-30
- Abstract
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.
Show
Sort by
-
Asymptotic methods in number theory and analysis
(2022) -
- Journal Article
- open access
Explicit commutative sequence space representations of function and distribution spaces on the real half-line
-
- Journal Article
- open access
Micro-local and qualitative analysis of the fractional Zener wave equation
-
- Journal Article
- A1
- open access
Infinite order psi DOs : composition with entire functions, new Shubin-Sobolev spaces, and index theorem
-
Note on a conjecture of Bateman and Diamond concerning the abstract PNT with Malliavin-type remainder
-
- Journal Article
- A1
- open access
The Fourier transform of thick distributions
-
- Journal Article
- A1
- open access
On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems : a constructive approach
-
- Journal Article
- A1
- open access
Topological properties of convolutor spaces via the short-time Fourier transform
-
- Journal Article
- A1
- open access
Factorization in Denjoy-Carleman classes associated to representations of (R^d,+)
-
- Journal Article
- A1
- open access
An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions