Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type

DOI10.1016/J.JMAA.2016.02.034zbMath1347.35012arXiv1509.03276OpenAlexW2230124346MaRDI QIDQ252912

Jasson Vindas, Andreas Debrouwere

Publication date: 4 March 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03276

zbMATH Keywords

Fourier seriesultradifferentiable functionsultradistributionsFourier-Lebesgue spacesquasianalytic classes

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Operations with distributions and generalized functions (46F10) Wave front sets in context of PDEs (35A18)

Related Items (5)

Optimal embeddings of ultradistributions into differential algebras ⋮ Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces ⋮ An introduction to the Gabor wave front set ⋮ Beyond Wiener's lemma: nuclear convolution algebras and the inversion of digital filters ⋮ Wave front sets with respect to Banach spaces of ultradistributions. Characterisation via the short-time fourier transform

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