no. 3
Trigonometric perturbation of the gaussian generalized fields. Small coupling results
Annales de l'I.H.P. Physique théorique, Tome 48 (1988) no. 3, pp. 205-228 
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     author = {Gielerak, R.},
     title = {Trigonometric perturbation of the gaussian generalized fields. {Small} coupling results},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {205--228},
     year = {1988},
     publisher = {Gauthier-Villars},
     volume = {48},
     number = {3},
     mrnumber = {950265},
     zbl = {0653.60100},
     language = {en},
     url = {https://www.numdam.org/item/AIHPA_1988__48_3_205_0/}
}
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Gielerak, R. Trigonometric perturbation of the gaussian generalized fields. Small coupling results. Annales de l'I.H.P. Physique théorique, Tome 48 (1988) no. 3, pp. 205-228. https://www.numdam.org/item/AIHPA_1988__48_3_205_0/

[1] E. Nelson, J. Funct. Anal., t. 12, 1973, p. 97. J. Funct. Anal., t. 12, 1973, p. 211. | Zbl

[2] B. Simon, The P (φ)2 Euclidean (quantum) field theory Princeton. Princeton Un. Press, 1974. | MR

[3] J. Glimm, A. Jaffe, Quantum Physics. A functional Integral Point of view. Springer Verlag, New York, 1981. | Zbl | MR

[4] T. Baraban, Physica, t. 124 (A), 1984, p. 79-90.

[5] S. Albeverio, R. Hoegh-Krohn, Comm. Math. Phys., t. 68, 1979, p. 68. | MR

[6] R. Gielerak, Journ. Math. Phys., t. 24 (2), 1983, p. 347. | MR

[7] R. Gielerak, in the book: Critical phenomena. Theoretical aspects. Éd. Jaffe, A. Ruelle, D. Birkauser, Stuttgart-Heidelberg-New York, 1985.

[8] B. Zegarlinski, Comm. Math. Phys., t. 96, 1984, p. 195. | Zbl | MR

[9] J. Bellisard, R. Hoegh-Krohn, Comm. Math. Phys. and references therein, t. 84, 1982, p. 897.

[10] S. Goldstein, Comm. Math. Phys., t. 74, 1980, p. 223. | Zbl | MR

[11] O.A. Mcbryan, Comm. Math. Phys., t. 61, 1978, p. 275. | MR

[12] H. English, Rep. Math. Phys., t. 18, 1980, p. 378.

[13] J. Frohlich, Y.M. Park, Comm. Math. Phys., t. 59, 1978, p. 235. | MR

[14] W.J. Skripnik, Kiev preprint, JTF, 75, 140 E.

[15] R. Gielerak, B. Zegarlinski, Fortschr. d. Physik, t. 31, 1984, p. 1. | MR

[16] J. Suhow, Works of Moscow. Math. Soc., v. 24, 1971.

[17] W.J. Skripnik, DAN AN SSSR, t. 222, 1975, p. 797.

[18] R. Dobrushin, R.L. Minlos in the book : Problems of mechanics and Mathematic Physics, Mir, M., 1976.

[19] J.A. Rozanov, Markov random fields (Science, Moscow, 1981, in Russian).

[20] G.M. Molchan, AN SSSR, t. 197, 1971, p. 784. DAN SSSR, t. 215, 1974, p. 1276.

[21] Jr. Mckean, Theory prob. and its applicat., t. 8, 1963, p. 357. | Zbl

[22] L. Pitt, Archive for Rat. Mech. Anal., t. 43, 1971, p. 43. | MR

[23] S. Albeverio, R. Hoegh-Krohn, in the book: Stochastic Analysis and Applications. Ed. M. Pinsky, Dekker, New York, 1985.

[24] G. Benfatto, C. Gallovotti, F. Nicollo, Journ. Funct. Anal., t. 36, 1980, p. 343. | Zbl

[25] H. Ito, Jr Mckean, Diffusion processes and their sample paths, Springer Verlag, 1965. | Zbl

[26] D.J. Petrina, W.I. Skripnik, Theor. Math. Phys., t. 8, 3, 1971, c. 369.

[27] S. Albeverio, R. Hoegh-Krohn, Comm. Math. Phys., t. 30, 1973, p. 171. | MR

[28] D. Ruelle, Statistical Mechanics Rigorous results. Mir, 1971 (Russ. translat.). | MR

[29] R. Gielerak, JINR, Dubna preprints, p-17-85-770, p-17-85-771, and paper in Theor. and Math. Phys. (2), 1986, p. 507.

[30] V.A. Zagrebnov, Theor. Math. Phys., t. 51, 1982, p. 389.

[31] M. Reed, B. Simon, Method of Mathematical Physics, vol. 1, Functional Analysis M., Science, 1977 (in Russian).

[32] D. Ruelle, Comm. Math. Phys., t. 10, 18, 1970, p. 127. | Zbl | MR

[33] H. Kunsh, Fac. Sci. Univ. Tokyo, IA, t. 26, 1979, p. 33. | Zbl

[34] S. Kotani, J. Math. Soc. Jap., t. 28, 1976, p. 86.

[35] S. Albeverio, Hoegh-Krohn, Rep. Math. Phys., 1983.

[36] E.B. Dynkin, Mem. of Amer. Math. Soc., t. 3, 1980, p. 975. | Zbl

[37] M. Röckner, Mem. of Amer. Math. Soc., t. 54, 1985, p. 324. | Zbl | MR

[38] M. Röckner, Comm. Math. Phys., t. 106, 1986, p. 105. | Zbl | MR

[39] S. Albeverio, R. Hoegh-Krohn, In the book ed. M. Pinsky, Dekker, New York, 1984.

[40] R. Holley, D. Strook, Research Inst. Math. Kyoto University, t. 14, 1978, p. 741. | Zbl

[41[ S. Albeverio, R. Hoegh-Krohn, Ann. Inst. Henri Poincaré, 1979.

[42] R. Gielerak, Preprint JINR, E-17-12-87, Dubna, 1987.

[43] R. Gielerak, Journ. Math. Phys., t. 12, 1986, p. 2892. | MR