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Microlocal spectrum condition and Hadamard form for vector-valued quantum fields in curved spacetime. (English) Zbl 1029.81053

MSC:
81T20 Quantum field theory on curved space or space-time backgrounds
46N50 Applications of functional analysis in quantum physics
81T05 Axiomatic quantum field theory; operator algebras
58J45 Hyperbolic equations on manifolds
47L90 Applications of operator algebras to the sciences
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