Attenuation factors and nilpotent harmonic analysis

DOI10.1007/BF03323326zbMath0443.41008MaRDI QIDQ1144220

Walter Johannes Schempp

Publication date: 1983

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformirreducible unitary representationsHeisenberg manifoldattenuation factorscardinal exponential splinesasymptotic behaviour of the spline interpolantscontour integral representationsnilpotent harmonic analysisperiodic polynomial spline interpolantsreal Heisenberg group

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Spline approximation (41A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

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Gruppentheoretische aspekte der signalübertragung und der kardinalen interpolationssplines I ⋮ Radar Ambiguity Functions, the Heisenberg Group, and Holomorphic Theta Series

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