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Kernels and symbols of operators in quantum field theory. (English) Zbl 0386.47015

MSC:
47B38 Linear operators on function spaces (general)
47L90 Applications of operator algebras to the sciences
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References:
[1] G.S. Agarwal and E. Wolf , I. Phys. Rev., D , vol. 2 , n^\circ 10 , 15 novembre 1970 , p. 2061 - 2186 .
[2] D. Babitt , Studies in Math. Phys. , Ed. by E. Lieb, B. Simon and A. S. Wightman, Princeton University Press , 1976 .
[3] V. Bargmann , Comm. on Pure and Appl. Math. , vol. XIV , 1961 , p. 187 - 214 . MR 157250 | Zbl 0107.09102 · Zbl 0107.09102
[4] F.A. Berezin , The Method of Second Quantization . Moscow 1965 , translated by Academic Press , New York , 1966 . MR 208930 | Zbl 0151.44001 · Zbl 0151.44001
[5] F.A. Berezin , Mat. Sbornik , vol. 86 , 1971 , p. 128 , n^\circ 4 , p. 577 - 606 . MR 291839 | Zbl 0247.47018 · Zbl 0247.47018
[6] F.A. Berezin , Izv. Akad. Nauk SSSR (Ser. Mat. ), t. 36 , 1972 , n^\circ 5 . Translated in Mat. USSR Izwiestija , vol. 6 , 1972 , n^\circ 5 , p. 1117 - 1151 . MR 350504
[7] [7 K.E. Cahill and R.J. Glauber , Phys. Rev. , t. 177 , 1969 , p. 1857 - 1881 .
[8] J.L. Doob , Stochastic Processes . New York , John Wiley , 1953 . MR 58896 | Zbl 0053.26802 · Zbl 0053.26802
[9] T.A.W. Dwyer , Partial differential equations in Fisher-Fock spaces . Thesis and Bull. Amer. Math. Soc. , vol. 77 , n^\circ 5 , septembre 1971 . Article | Zbl 0222.46019 · Zbl 0222.46019
[10] L. Ehrenpreis , Complex Fourier analysis . Academic Press . · Zbl 0195.10401
[11] D.H. Fremlin , D.J.H. Garling and R.G. Haydon , Proc. Lond. Math. Soc. , ( 3 ), t. 25 , 1972 , p. 115 - 136 . MR 344405 | Zbl 0236.46025 · Zbl 0236.46025
[12] J. Glimm and A. Jaffe , J. Math. Phys. , t. 13 , 1972 , p. 1558 - 1581 .
[13] A. Grothendieck , Produits tensoriels topologiques et espaces nucléaires . Providence . Amer. Math. Soc. , 1955 , Mem. Amer. Math. Soc. , n^\circ 16 . MR 75539 | Zbl 0123.30301 · Zbl 0123.30301
[14] A. Grothendieck , Espaces vectoriels topologiques . Cours a l’Université de Sao Paulo , 1964 . Zbl 0316.46001 · Zbl 0316.46001
[15] A. Grothendieck , J. reine angew. Math. , t. 192 , Part. I, p. 35 - 64 , Part. II, 1953 , p. 77 - 95 . Zbl 0051.08704 · Zbl 0051.08704
[16] J.R. Klauder and E.C.G. Sudarshan , Fundamentals of quantum optics , Benjamin , New York , 1968 . MR 231591
[17] P. Krée , Théorie des distributions et holomorphie en dimension infinie . Actes du Colloque d’holomorphie en dimension infinie de Campinas S. P., Brésil , août 1975 . Mathematics Studies , n^\circ 12 . North Holland ( 1977 ). MR 482801
[18] P. Krée , Solutions faibles d’équations aux dérivées fonctionnelles . Sem. P. Lelong . Lecture Notes in Mathematics , I , n^\circ 410 et II , n^\circ 474 , p. 16 - 47 et III , n^\circ 524 , p. 163 - 192 . MR 394194 | Zbl 0301.46030 · Zbl 0301.46030
[19] P. Krée , Sém. sur les équations aux dérivées partielles en dimension infinie , 1974 - 1975 ( Secr. math. de l’Institut Henri Poincaré ).
[20] P. Krée , C. R. Acad. Sc. Paris , t. 284 , 3 janvier 1977 , Série A , p. 25 - 28 . Zbl 0346.46052 · Zbl 0346.46052
[21] H. Louisell , Quantum statistical properties of radiations . John Wiley , New York , 1973 .
[22] B. Malgrange , Thesis , Ann. Inst. Fourier (Grenoble) , t. 6 , 1955 - 1956 , p. 271 - 355 . Numdam | MR 86990 | Zbl 0071.09002 · Zbl 0071.09002
[23] A. Martineau , Thesis , Journal d’analyse Math. de Jérusalem , vol. XI , 1963 , p. 1 - 164 . Zbl 0124.31804 · Zbl 0124.31804
[24] A. Martineau , Exposé au Sém. Jean Leray , Collège de France , 1965 - 1966 .
[25] L. Nachbin , Space of holomorphic mappings between Banach spaces . Springer-Verlag , 1968 .
[26] R. Raczka , Nuovo Cimento , vol. 21 A, n^\circ 2 , t. 21 , maggio, 1974 , p. 329 - 350 . MR 416355
[27] R. Raczka , Journal of Math. Physics , t. 16 , 1975 , p. 173 - 176 .
[28] L. Schwartz , Théorie des distributions , Nouvelle édition, Paris , Hermann , 1966 . MR 209834 · Zbl 0149.09501
[29] I. Segal , Tensor algebras over Hilbert spaces I , Trans. Amer. Math. Soc. , t. 81 , 1956 . MR 76317 | Zbl 0070.34003 · Zbl 0070.34003
[30] I. Segal , Illinois , J. Math. , t. 6 , 1962 , p. 500 - 523 . Article | MR 143519 | Zbl 0106.42804 · Zbl 0106.42804
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