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.
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- Journal Article
- A1
- open access
The optimal Malliavin-type remainder for Beurling generalized integers
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- Journal Article
- A1
- open access
Kernel theorems for Beurling-Björck type spaces
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- Journal Article
- A1
- open access
Quasianalytic functionals and ultradistributions as boundary values of harmonic functions
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- Journal Article
- A1
- open access
The pointwise behavior of Riemann’s function
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- Journal Article
- A1
- open access
Besov regularity in non-linear generalized functions