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Quasi-Lipschitz equivalence of quasi Ahlfors-David regular sets

✍ Scribed by Qin Wang; LiFeng Xi

Book ID
107348511
Publisher
SP Science China Press
Year
2011
Tongue
English
Weight
220 KB
Volume
54
Category
Article
ISSN
1674-7283

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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