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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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A characterization of Osterwalder-Schrader path spaces by the associated semigroup
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by Abel Klein PDF
Bull. Amer. Math. Soc. 82 (1976), 762-764
References
  • Abel Klein, When do Euclidean fields exist?, Lett. Math. Phys. 1 (1975/76), no.Β 2, 131–133. MR 426698, DOI 10.1007/BF00398375
  • Abel Klein, The semigroup characterization of Osterwalder-Schrader path spaces and the construction of Euclidean fields, J. Functional Analysis 27 (1978), no.Β 3, 277–291. MR 0496172, DOI 10.1016/0022-1236(78)90009-5
  • Abel Klein and Lawrence J. Landau, Singular perturbations of positivity preserving semigroups via path space techniques, J. Functional Analysis 20 (1975), no.Β 1, 44–82. MR 0381580, DOI 10.1016/0022-1236(75)90053-1
    • 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]
  • Barry Simon, Positivity of the Hamiltonian semigroup and the construction of Euclidean region fields, Helv. Phys. Acta 46 (1973/74), 686–696. MR 381541
  • Barry Simon, The $P(\phi )_{2}$ Euclidean (quantum) field theory, Princeton Series in Physics, Princeton University Press, Princeton, N.J., 1974. MR 0489552, DOI 10.1007/BF01645738
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Additional Information
  • 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