CENTRAL LIMIT THEOREMS ON NILPOTENT LIE GROUPS
Abstract: The Lindeberg theorem is derived on stratified nilpotent Lie groups; that is a
normal convergence theorem for a triangular system of probability measures in
case of bounded (homogeneous) moments of second order. By using necessary and
sufficient conditions for convergence of convolution semigroups of probability
measures on Lie groups a Lindeberg-Feller theorem is proved on the Heisenberg group.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -