Multiplier theorem on generalized Heisenberg groups II

A Central Limit Theorem on Heisenberg Type Groups. Ii

We present a Liapounov type central limit theorem for random variables associated to a commutative Banach algebra of "radial" measures on Heisenberg type groups. This theorem improves on a result presented by the author in Proc. Amer. Math. Soc. 113 (1991), 529-536. 0. Introduction In [Oh] we introduced a commutative algebra of "radial", bounded, Borel measures on Heisenberg type groups (H-type...

A Central Limit Theorem on Heisenberg Type Groups

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. 0. Introduction One of the main themes in the area of nilpotent Lie gro...

Lie Groups Locally Isomorphic to Generalized Heisenberg Groups

We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group N , there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to N and a union of certain quotients of noncompact Riemannian symmetric spaces.

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

Controllability of Affine Systems for the Generalized Heisenberg Lie Groups

Affine control systems on the generalized Heisenberg Lie groups are studied. Controllability of this kind of class of systems on the generalized Heisenberg Lie group is established by relating to their associated bilinear part. AMS Subject Classification: 22E20