A central limit theorem on Heisenberg type groups
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- Proc. Amer. Math. Soc. 113 (1991), 529-536 Request permission
Abstract:
Heisenberg type groups are a class of $2$-step nilpotent Lie groups which have many similarities with Heisenberg groups. In this paper we consider a commutative Banach algebra of radial, bounded, Borel measures on such groups and prove a central limit theorem for measures in this algebra satisfying suitable growth conditions.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 529-536
- MSC: Primary 60B15; Secondary 60F05
- DOI: https://doi.org/10.1090/S0002-9939-1991-1045146-7
- MathSciNet review: 1045146