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The Paley–Wiener theorem for certain nilpotent Lie groupsJean

✍ Scribed by Jean Ludwig; Carine Molitor–Braun

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 243 KB
Volume: 282
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200610805

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✦ Synopsis

Abstract

We generalize the classical Paley–Wiener theorem to special types of connected, simply connected, nilpotent Lie groups: First we consider nilpotent Lie groups whose Lie algebra admits an ideal which is a polarization for a dense subset of generic linear forms on the Lie algebra. Then we consider nilpotent Lie groups such that the co‐adjoint orbits of all the elements of a dense subset of the dual of the Lie algebra 𝔤^*^ are flat (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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