Geodesic
Intersection of Jaffe spaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 147-160 Cet article a éte moissonné depuis la source Math-Net.Ru

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The intersection of the spaces satisfying the Jaffe strict localizability condition is calculated and its linearly-topological properties are investigated. This intersection an be used as an universal test function space for local quantum field theory. 
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     author = {M. A. Soloviev},
     title = {Intersection {of~Jaffe} spaces},
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}
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M. A. Soloviev. Intersection of Jaffe spaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 147-160. http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a0/

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

[2] N. N. Meiman, ZhETF, 47 (1964), 1966 | MR

[3] F. Constantinescu, J. Math. Phys., 12 (1971), 293 | DOI | MR

[4] M. A. Solovev, TMF, 7 (1971), 183 | MR | Zbl

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

[6] P. Shapira, Teoriya giperfunktsii, «Mir», 1972 | MR | Zbl

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

[8] C. Roumieu, Ann. Sci. Ecole Norm. Sup., Série 3, 77 (1960), 41 | MR | Zbl

[9] L. Ehrenpreis, Amer. J. Math., 82 (1960), 522 | DOI | MR | Zbl

[10] J. Boman, Arkiv Mat., 5 (1964), 301 | DOI | MR

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

[12] G. E. Shilov, DAN SSSR, 102 (1955), 893 | Zbl

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

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

[15] M. A. Solovev, Preprint FIAN No 38, 1969 | MR

[16] M. A. Solovev, Preprint ITEF-146, 1977; ТМФ, 42 (1980), 3 | MR

[17] A. Kartan, Differentsialnoe ischislenie. Differentsialnye formy, «Mir», 1972

[18] Kh. Shefer, Topologicheskie vektornye prostranstva, «Mir», 1971 | MR

[19] A. Robertson, V. Robertson, Topologicheskie vektornye prostranstva, «Mir», 1967 | MR | Zbl

[20] I. M. Gelfand, N. Ya. Vilenkin, Obobschennye funktsii, t. 4, Fizmatgiz, 1961 | MR

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

[22] S. Nagamachi, N. Mugibayashi, Commun. Math. Phys., 46 (1976), 119 | DOI | MR | Zbl