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A characterization of Osterwalder-Schrader path spaces by the associated semigroup


Author: Abel Klein
Journal: Bull. Amer. Math. Soc. 82 (1976), 762-764
MSC (1970): Primary 60J99, 81A17, 81A18; Secondary 47D05, 60G20
DOI: https://doi.org/10.1090/S0002-9904-1976-14155-9
MathSciNet review: 0406249
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References [Enhancements On Off] (What's this?)

  • 1. A. Klein, When do Euclidean fields exist?, Letters in Mathematical Physics, 1 (1976), 131-133. MR 426698
  • 2. A. Klein, The semigroup characterization of Osterwalder-Schrader path spaces and the construction of Euclidean fields (to appear). MR 496172
  • 3. A. Klein and L. Landau, Singular perturbations of positivity preserving semigroups via path space techniques, J. Functional Anal. 20 (1975), 44-82. MR 381580
  • 4. K. Osterwalder and R. Schrader, Axioms for Euclidean Green's functions. I, II, Comm. Math. Phys. 31 (1973), 83-112; ibid. 42 (1975), 281-305.[Note]
  • 5. B. Simon, Positivity of the Hamiltonian semigroup and the construction of Euclidean region fields, Helv. Phys. Acta 46 (1972), 686-696. MR 381541
  • 6. B. Simon, The P(Ø)2Euclidean (quantum) field theory, Princeton Series in Physics, Princeton Univ. Press, Princeton, N. J., 1974. MR 489552

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DOI: https://doi.org/10.1090/S0002-9904-1976-14155-9

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