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Note on Continuous Representations of Lie Groups

โœ Scribed by Lars Garding


Book ID
123669038
Publisher
National Academy of Sciences
Year
1947
Tongue
English
Weight
108 KB
Volume
33
Category
Article
ISSN
0027-8424

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Continuous Families of Quasi-Regular Rep
โœ D. Schueth ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 566 KB

We generalize a result about two-step nilpotent Lie groups by Carolyn Gordon and He Ouyang: Let \(\left\{\Gamma_{t}\right\}_{1 \geqslant 0}\) be a continuous family of uniform discrete subgroups of a simply connected Lie group \(G\) such that the quasi-regular representations of \(G\) on \(L^{2}\lef