A Central Limit Theorem on Heisenberg Type Groups

DOI10.2307/2048539zbMath0756.43006OpenAlexW4234467201MaRDI QIDQ3974495

Peter Ohring

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2048539

zbMATH Keywords

central limit theoremBorel measuresHeisenberg type groups2-step nilpotent Lie groups

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on other specific Lie groups (43A80) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (1)

A Central Limit Theorem on Heisenberg Type Groups. II

Cites Work

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• A Tauberian theorem and tangential convergence for bounded harmonic functions on balls in \(\mathbb{C}^n\)
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• On Gelfand Pairs Associated with Solvable Lie Groups
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• A fundamental solution for a subelliptic operator

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