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Support properties of the free measure for boson fields. (English) Zbl 0285.60026

##### MSC:
 60G15 Gaussian processes
Full Text:
##### References:
 [1] Abramowitz, N., Stegun, I.: Handbook of mathematical functions, pp. 375, 378, Washington: U.S. Govt. Printing Office 1964 · Zbl 0171.38503 [2] Cannon, J.: Continuous sample paths in quantum field theory, to appear in Commun. math. Phys. [3] Colella, P., Lanford, O.: Sample field behavior for the free Markov random field. In: Velo, G., Wightman, A. (Ed.): Constructive quantum field theory, Springer Lecture Notes in hysics25. Berlin-Heidelberg-New York: Springer 1973 · Zbl 0346.28004 [4] Dimock, J., Glimm, J.: Measures on the Schwartz distribution space and applications to quantum field theory, to appear · Zbl 0313.28015 [5] Gelfand, I., Shilov, G.: Generalized functions I, p. 288, New York: Academic Press 1964 [6] Gelfand, I., Vilenkin, N.: Generalized functions IV, p. 329, New York: Academic Press 1964 [7] Guerra, F., Rosen, L., Simon, B.: TheP($$\phi$$)2 Euclidean quantum field theory as classical statistical mechanics, Ann. Math., to appear [8] Hida, T.: Stationary stochastic processes, p. 70, Princeton: Princeton University Press 1970 · Zbl 0214.16401 [9] Loève, M.: Probability theory, New York: Van Nostrand 1960 · Zbl 0095.12201 [10] Nelson, E.: Quantum fields and Markoff fields. In: Proceedings of the Summer Institute of Partial Differential Equations, Berkeley, 1971, A.M.S., Providence 1973 · Zbl 0279.60096 [11] Nelson, E.: J. Funct. Anal.12, 97–112 (1973) · Zbl 0252.60053 · doi:10.1016/0022-1236(73)90091-8 [12] Nelson, E.: J. Funct. Anal.12, 211–227 (1973) · Zbl 0273.60079 · doi:10.1016/0022-1236(73)90025-6
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