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On theorems of Beurling and Hardy for certain step two nilpotent groups

✍ Scribed by Parui, Sanjay; Thangavelu, Sundaram


Book ID
126642776
Publisher
Taylor and Francis Group
Year
2009
Tongue
English
Weight
216 KB
Volume
20
Category
Article
ISSN
1065-2469

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A Paley-Wiener theorem for all connected, simply-connected two- and three-step nilpotent Lie groups is proved. If \(f \in L_{i}^{x}(G)\), where \(G\) is a connected, simplyconnected two- or three-step nilpotent Lie group such that the operator-valued Fourier transform \(\hat{\varphi}(\pi)=0\) for al