English

Reflection positive affine actions and stochastic processes

Mathematical Physics 2022-07-20 v1 math.MP Representation Theory

Abstract

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.

Cite

@article{arxiv.1601.06668,
  title  = {Reflection positive affine actions and stochastic processes},
  author = {P. E. T. Jorgensen and K-H. Neeb and G. Olafsson},
  journal= {arXiv preprint arXiv:1601.06668},
  year   = {2022}
}
R2 v1 2026-06-22T12:36:10.634Z