The universality of the spaces of ultradistributions \({\mathcal C}_ S({\mathbb{T}})^\wedge\), \({\mathcal C}_{(S)}({\mathbb{T}})^\wedge\) (\(0

DOI10.3836/TJM/1270134522zbMath0651.46042OpenAlexW1970376740MaRDI QIDQ1106427

Yoshiko Taguchi

Publication date: 1987

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270134522

zbMATH Keywords

Gevrey classesapproximation propertyspaces of ultradistributionsperfect linear subspace of \(\ell _ 1\)space of Fourier coefficients

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III: Hilbert spaces and universality ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations

This page was built for publication: The universality of the spaces of ultradistributions \({\mathcal C}_ S({\mathbb{T}})^\wedge\), \({\mathcal C}_{(S)}({\mathbb{T}})^\wedge\) (\(0<s\leq \infty\)), \({\mathcal C}_ 0({\mathbb{T}})^\wedge\) and \(\text{Exp}({\mathbb{C}}^\times)^\wedge\).