Topologically invariant linear forms on spaces of abstract distributions on a locally compact Abelian group

DOI10.1007/BF01572081zbMath0765.43003MaRDI QIDQ1207668

Rodney Nillsen

Publication date: 12 May 1993

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178574

zbMATH Keywords

Fourier transformdistributionslocally compact abelian grouplinear formisometric isomorphism

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Translation invariant forms on \(L^ p(G)\) \((1<p<\infty)\)
• Continuity of translation invariant linear functionals on \(C_ 0(G)\) for certain locally compact groups G
• Translation-invariant linear forms on C\(_0\)(G), C(G), L\(^p\)(G) for noncompact groups
• Translationinvariant linear forms on L\(^2\)(G) for compact Abelian groups G
• Some discontinuous translation-invariant linear forms
• Adapted Sets of Measures and Invariant Functionals on L p (G)

This page was built for publication: Topologically invariant linear forms on spaces of abstract distributions on a locally compact Abelian group