On the projective description of spaces of ultradifferentiable functions of Roumieu type

DOI10.1007/978-3-030-87502-2_37arXiv1912.11938OpenAlexW4309296427MaRDI QIDQ6196696

Bojan Prangoski, Andreas Debrouwere, Jasson Vindas

Publication date: 15 March 2024

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11938

zbMATH Keywords

projective descriptionultradifferentiable classes of Roumieu type

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

• Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces
• Solution to the first Cousin problem for vector-valued quasianalytic functions
• Ultradifferentiable functions and Fourier analysis
• Composition in ultradifferentiable classes
• A support theorem for quasianalytic functionals
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• On the extension of differentiable functions
• Methods of Geometric Analysis in Extension and Trace Problems
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