Reflection positive affine actions and stochastic processes
  In this note we continue our investigations of the representation theoretic aspects of reflection positivity, also called Osterwalder--Schrader positivity. We explain how this concept relates to affine isometric actions on real Hilbert spaces and how this is connected with Gaussian processes with stationary increments. 
P. E. T. Jorgensen, K-H. Neeb, and G. Olafsson
math-ph math.MP math.RT