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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The Fourier transform of thick distributions
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- Journal Article
- A1
- open access
On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems : a constructive approach
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- Journal Article
- A1
- open access
Topological properties of convolutor spaces via the short-time Fourier transform
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Factorization in Denjoy-Carleman classes associated to representations of (R^d,+)
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- Journal Article
- A1
- open access
An asymptotic analysis of the Fourier-Laplace transforms of certain oscillatory functions
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The nuclearity of Gelfand-Shilov spaces and kernel theorems
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- Journal Article
- A1
- open access
Asymptotic boundedness and moment asymptotic expansion in ultradistribution spaces
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- Journal Article
- A1
- open access
Characterization of nuclearity for Beurling–Björck spaces
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- Journal Article
- A1
- open access
Beurling integers with RH and large oscillation
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- Journal Article
- A1
- open access
Multiresolution expansions and wavelets in Gelfand-Shilov spaces