Ruelle's theorem and the theory of quasianalytic classes of functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 1, pp. 3-15 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new derivation of asymptotic properties of vacuum expectation values for large spacelike separations is proposed. The derivation is based on the theory of quasianalvtic classes of functions.
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M. A. Soloviev. Ruelle's theorem and the theory of quasianalytic classes of functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 1, pp. 3-15. http://geodesic.mathdoc.fr/item/TMF_1980_42_1_a0/

[1] D. Ruelle, Helv. Phys. Acta, 35 (1962), 147 | MR | Zbl

[2] R. Iost, Obschaya teoriya kvantovannykh polei, «Mir», 1967 | MR

[3] H. Araki, K. Hepp, D. Ruelle, Helv. Phys. Acta, 35 (1962), 164 | MR | Zbl

[4] K. Khepp, A. Epshtein, Analiticheskie svoistva amplitud rasseyaniya v lokalnoi kvantovoi teorii polya, Atomizdat, 1971

[5] R. Striter, A. Vaitman, RST, spin i statistika i vse takoe, «Nauka», 1966

[6] M. A. Solovev, V. Ya. Fainberg, Materialy IV Mezhdunarodnogo soveschaniya po nelokalnym teoriyam polya, OIYaI D2-9788, Dubna, 1976

[7] V. Ya. Fainberg, M. A. Soloviev, Ann. Phys., 113 (1978), 421 | DOI | MR | Zbl

[8] K. Hepp, Commun. Math. Phys., 1 (1965), 95 | DOI | MR | Zbl

[9] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii, t. 2, Fizmatgiz, 1958 | MR

[10] M. A. Solovev, Preprint ITEF-140, 1977

[11] S. W. MacDowell, R. Roskies, B. Schroer, Phys. Rev., 166 (1968), 1691 | DOI

[12] M. A. Solovev, Preprint FIAN No 38, 1969

[13] S. Mandelbroit, Teoremy zamknutosti i teoremy kompozitsii. Prilozhenie, IL, M., 1962

[14] B. S. Mityagin, Tr. Mosk. matem. ob-va, 9 (1960), 317 | MR | Zbl

[15] S. Mandelbroit, Primykayuschie ryady. Regulyarizatsiya posledovatelnostei. Primeneniya, IL, 1955

[16] T. Bang, On quasi analytiske Funktioner, Thése, Kyobenhavn, 1946 | MR

[17] C.-C. Chou, Compt. Rend. Acad. Sci, Série A, 260 (1965), 4397 | MR | Zbl

[18] A. M. Jaffe, Phys. Rev., 158 (1967), 1454 | DOI

[19] C. Roumieu, Ann. Sc. École Norm. Sup., Série 3, 77 (1960), 41 | DOI | MR | Zbl