Translation-invariant linear forms on \({\mathcal E}'(G)\) and non-Liouville tuples on G

DOI10.1016/0022-1236(88)90128-0zbMath0649.43001OpenAlexW2030049734MaRDI QIDQ1105803

Lilian Asam

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90128-0

zbMATH Keywords

distributionsSchwartz-Bruhat spacetranslation-invariant linear formcompact supportslocally compact, compactly generated Abelian groupnon-Liouville n-tuple

Mathematics Subject Classification ID

General properties and structure of locally compact groups (22D05) Distributions, generalized functions, distribution spaces (46F99) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07)

Cites Work

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• Periodic distributions and non-Liouville numbers
• Discontinuous translation-invariant linear forms on \(\mathcal K(G)\)
• Non-Liouville numbers and a theorem of Hörmander
• Translation-invariant linear forms on C\(_0\)(G), C(G), L\(^p\)(G) for noncompact groups
• Translation-invariant linear forms and a formula for the Dirac measure
• Translationinvariant linear forms on L\(^2\)(G) for compact Abelian groups G
• Some discontinuous translation-invariant linear forms
• Discontinuous Translation Invariant Functionals
• Diophantine Approximation Properties of Certain Infinite Sets
• Discontinuous translation invariant linear functional on L¹(G)
• On polythetic groups
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
• Generators for some rings of analytic functions

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