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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

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
MathSciNet review: 0406249
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References [Enhancements On Off] (What's this?)

  • 1. Abel Klein, When do Euclidean fields exist?, Lett. Math. Phys. 1 (1975/76), no. 2, 131–133. MR 0426698 (54 #14637)
  • 2. Abel Klein, The semigroup characterization of Osterwalder-Schrader path spaces and the construction of Euclidean fields, J. Functional Analysis 27 (1978), no. 3, 277–291. MR 0496172 (58 #14750)
  • 3. Abel Klein and Lawrence J. Landau, Singular perturbations of positivity preserving semigroups via path space techniques, J. Functional Analysis 20 (1975), no. 1, 44–82. MR 0381580 (52 #2473)
  • 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. Barry Simon, Positivity of the Hamiltonian semigroup and the construction of Euclidean region fields, Helv. Phys. Acta 46 (1973/74), 686–696. MR 0381541 (52 #2434)
  • 6. Barry Simon, The 𝑃(𝜑)₂ Euclidean (quantum) field theory, Princeton University Press, Princeton, N.J., 1974. Princeton Series in Physics. MR 0489552 (58 #8968)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1976-14155-9
PII: S 0002-9904(1976)14155-9