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A characterization of Osterwalder-Schrader path spaces by the associated semigroup
Author(s):
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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Additional information
References:
- 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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Additional Information:
DOI:
10.1090/S0002-9904-1976-14155-9
PII:
S 0002-9904(1976)14155-9
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