About the Nuclearity of $$\mathcal {S}_{(M_{p})}$$ and $$\mathcal {S}_{\omega }$$

DOI10.1007/978-3-030-36138-9_6zbMath1457.46052arXiv1902.09187OpenAlexW2915636318MaRDI QIDQ3295281

Chiara Boiti, Alessandro Oliaro, David Jornet

Publication date: 8 July 2020

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09187

zbMATH Keywords

nuclear spacesweighted spaces of ultradifferentiable functions of Beurling type

Mathematics Subject Classification ID

Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (3)

Characterization of nuclearity for Beurling–Björck spaces ⋮ Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting ⋮ Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis

Cites Work

• Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
• Hermite functions and weighted spaces of generalized functions
• The Gabor wave front set in spaces of ultradifferentiable functions
• Real Paley-Wiener theorems in spaces of ultradifferentiable functions
• A comparison of two different ways to define classes of ultradifferentiable functions
• Linear partial differential operators and generalized distributions
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