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Open AccessSubexponential decay and regularity estimates for eigenfunctions of localization operators
We consider time-frequency localization operators \(A_a^{\varphi _1,\varphi _2}\) A ...
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Article
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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Article
Inverse closedness and localization in extended Gevrey regularity
We consider classes \( \mathcal {E}_{\tau ,\sigma }(U)\) ...
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Article
Beyond Gevrey regularity
We define and study classes of smooth functions which are less regular than Gevrey functions. To that end we introduce two-parameter dependent sequences which do not satisfy Komatsu’s condition (M.2)’, which i...
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Article
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...