Reflection Negative Kernels and Fractional Brownian Motion

In this article we study the connection of fractional Brownian motion, representation theory and reflection positivity in quantum physics. We introduce and study reflection positivity for affine isometric actions of a Lie group on a Hilbert space E and show in particular that fractional Brownian...

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Bibliographic Details
Main Authors: Palle E. T. Jorgensen, Karl-Hermann Neeb, Gestur Ólafsson
Format: Article
Language:English
Published: MDPI AG 2018-06-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/10/6/191