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Geometric models for the spectra of certain Gelfand pairs associated with Heisenberg groups

โœ Scribed by Chal Benson, Gail Ratcliff


Book ID
120967324
Publisher
Springer
Year
2011
Tongue
English
Weight
341 KB
Volume
192
Category
Article
ISSN
0373-3114

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In this paper, we give a proof to the orbit conjecture of Benson Jenkins Lipsman Ratcliff and get a geometric criterion for Gelfand pairs associated with nilpotent Lie groups. Our proof is based on an analysis of the condition by using certain operators naturally attached to two step nilpotent Lie a