Real Paley-Wiener theorems in spaces of ultradifferentiable functions

DOI10.1016/j.jfa.2019.108348zbMath1439.46032arXiv1902.02745OpenAlexW2979863370WikidataQ127103171 ScholiaQ127103171MaRDI QIDQ2281174

Alessandro Oliaro, Chiara Boiti, David Jornet

Publication date: 19 December 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02745

zbMATH Keywords

short-time Fourier transformreal Paley-Wiener theoremsWigner transformweighted Schwartz classes

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (13)

Quantizations and global hypoellipticity for pseudodifferential operators of infinite order in classes of ultradifferentiable functions ⋮ The Wigner global wave front set in spaces of tempered ultradistributions ⋮ Paley-Wiener-type theorems associated to the Laplace-Bessel operator ⋮ Spectrum of quaternion signals associated with quaternion linear canonical transform ⋮ Compactness of localization operators on modulation spaces of \(\omega\)-tempered distributions ⋮ Unnamed Item ⋮ Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting ⋮ About the Nuclearity of $$\mathcal {S}_{(M_{p})}$$ and $$\mathcal {S}_{\omega }$$ ⋮ Regularity of global solutions of partial differential equations in non isotropic ultradifferentiable spaces via time-frequency methods ⋮ Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis ⋮ Multipliers on \(\mathcal{S}_{\omega } (\mathbb{R}^N)\) ⋮ Convolutors on \(\mathcal{S}_{\omega}(\mathbb{R}^N)\) ⋮ Global wave front sets in ultradifferentiable classes

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