A sequence space representation of L. Schwartz' space \({{\mathcal{O}_{C}}}\)

DOI10.1007/s00013-012-0373-3zbMath1245.46030OpenAlexW2070874944MaRDI QIDQ420965

Christian Bargetz

Publication date: 23 May 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0373-3

zbMATH Keywords

inductive limitprojective limitsequence space representationspace of very slowly increasing functionstopological tensor products

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (7)

Explicit commutative sequence space representations of function and distribution spaces on the real half-line ⋮ Sequence space representations for spaces of smooth functions and distributions via Wilson bases ⋮ Topological properties of convolutor spaces via the short-time Fourier transform ⋮ Explicit representations of spaces of smooth functions and distributions ⋮ Explicit representations of L. Schwartz' spaces \(\mathcal D_{L^p}\) and \(\mathcal D^\prime_{L^p}\) by the sequence spaces \(s\hat\otimes l^p\) and \(s^\prime\hat\otimes l^p\), respectively, for \(1<p<\infty\) ⋮ Commutativity of the Valdivia-Vogt table of representations of function spaces ⋮ Completing the Valdivia-Vogt tables of sequence-space representations of spaces of smooth functions and distributions

Cites Work

• Théorie des distributions à valeurs vectorielles
• Théorie des distributions à valeurs vectorielles. II
• A representation of the space \(O_ M\).
• Produits tensoriels topologiques et espaces nucléaires
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