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Uncertainty principles on two step nilpotent Lie groups

✍ Scribed by S. K. Ray


Publisher
Indian Academy of Sciences
Year
2001
Tongue
English
Weight
298 KB
Volume
111
Category
Article
ISSN
0253-4142

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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