Paper Title:

Bartle Integration in Lie Algebras

Author(s):

Andreas Boukas and Philip Feinsilver

Centro Vito Volterra,
Universita di Roma Tor Vergata,
via Columbia 2, 00133 Roma,
Italy.

Department of Mathematics,
Southern Illinois University,
Carbondale, Illinois 62901,
USA.

E-mail: andreasboukas@yahoo.com
E-mail:  pfeinsil@math.siu.edu

Abstract:

Using Bartle's bilinear vector integral we define stochastic integrals of bounded operator valued functions with respect to Stieltjes measures associated with the generators of the Heisenberg and Finite Difference Lie algebras. Our definition also covers the Square of White Noise and sl/2 Lie algebras.

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