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math.FA2026
Outgoing monotone geodesics of standard subspaces
Jonas Schober
We prove a real version of the Lax-Phillips Theorem and classify outgoing reflection positive orthogonal one-parameter groups. Using these results, we provide a normal form for out…
math.FA2025
Regular one-parameter groups, reflection positivity and their application to Hankel operators and standard subspaces
Jonas Schober
Standard subspaces are a well-studied object in algebraic quantum field theory (AQFT). Given a standard subspace of a Hilbert space , one is interested in un…
math.FA2024
Reflection positivity and its relation to disc, half plane and the strip
Maria Stella Adamo, Karl-Hermann Neeb, Jonas Schober
We develop a novel perspective on reflection positivity (RP) on the strip by systematically developing the analogies with the unit disc and the upper half plane in the complex plan…