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We consider time-frequency localization operators \(A_a^{\varphi _1,\varphi _2}\) A ...
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A Paley–Wiener theorem in extended Gevrey regularity
In this paper we introduce appropriate associated function to the sequence \(M_p=p^{\tau p^{\sigma }}, p\in {\mathbf {N}}, \tau>0, \sigma >1\)Mp=pτpσ,p∈N,τ>0,σ>1, and derive its sharp asymptotic estimates in term...
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We consider classes \( \mathcal {E}_{\tau ,\sigma }(U)\) ...
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The wavelet transforms in Gelfand–Shilov spaces
We describe local and global behavior of wavelet transforms of ultra-differentiable functions. The results are given in the form of continuity properties of the wavelet transform on Gelfand–Shilov type spaces ...
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Micro-local analysis in Fourier Lebesgue and modulation spaces: part II
We consider different types of (local) products f 1 f 2 in Fourier Lebesgue spaces. Furthermore, we prove the existence of such products fo...
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Chapter and Conference Paper
Ultradistributions and Time-Frequency Analysis
The aim of the paper is to show the connection between the theory of ultradistributions and time-frequency analysis. This is done through time-frequency representations and modulation spaces. Furthermore, some...