A uniform boundedness principle for compact sets and the decay of Fourier transforms

DOI10.1007/BF01200356zbMath0612.43002OpenAlexW4256405493MaRDI QIDQ1088106

Colin C. Graham

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173886

zbMATH Keywords

compact abelian groupcharacteristic functionadditive functionsdual group\(L^ 1\)- spacesNikodym uniform boundedness principlerate of decay of Fourier transformsring of compact sets

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) Character groups and dual objects (43A40)

Cites Work

• Indicator functions with large Fourier transforms
• The theory of stationary vector-valued measures over R.
• An inequality concerning measures
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A uniform boundedness principle for compact sets and the decay of Fourier transforms