On S"-', the gradient vector field dc, is nonzero at o whenever (3) c1(o) = 0 .
Operators arising from representations of nilpotent Lie groups
β Scribed by Larry Baggett
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 982 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
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We characterize all pairs of cocompact, discrete subgroups \(\Gamma_{1}\) and \(\Gamma_{2}\) of a twostep nilpotent Lie group \(M\) such that the quasi-regular representations of \(M\) on \(L^{2}\left(\Gamma_{1} \backslash M\right)\) and \(L^{2}\left(\Gamma_{2} \backslash M\right)\) are unitarily eq