Titlebook: Reflection Positivity; A Representation The Karl-Hermann Neeb,Gestur Ólafsson Book 2018 The Author(s) 2018 symmetric Lie groups.reflection

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Reflection Positivity and Stochastic Processes, concept of a .-measure space generalizing Klein’s Osterwalder–Schrader path spaces for .. A key result is the correspondence between .-measure spaces and the corresponding positive semigroup structures on the Hilbert space ..

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Integration of Lie Algebra Representations,n, but we shall see below that in the reflection positive contexts, where the Hilbert spaces are mostly constructed from .-invariant positive definite kernels or positive definite .-invariant distributions, there are natural assumptions that apply in all cases that we consider.

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Reflection Positive Hilbert Spaces,ert space ., a unitary involution . on . and a closed subspace . which is . in the sense that . for .. This structure immediately leads to a new Hilbert space . and a linear map . with dense range. When the so-called Markov condition is satisfied, there even exists a closed subspace . mapped isometr

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