Reflection positivity via Krein space analysis

DOI10.1016/j.aam.2022.102411OpenAlexW4290708693MaRDI QIDQ2168567

Daniel Alpay, Palle E. T. Jorgensen

Publication date: 31 August 2022

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2022.102411

zbMATH Keywords

Hilbert spaceKrein spaceharmonic analysisRiccati equationreflection positivePotapov-Ginzburg transformSchur analysis\(J\)-self-adjointOsterwalder-Schrader axiomsrealization of input/output systems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Boundary value problems in the complex plane (30E25) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Harmonic analysis in one variable (42A99) Operator theory (47-XX) Operator theory and harmonic analysis (47B90)

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