The role of locality in perturbation theory

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1. [1] Quantum Electrodynamics, edited by J. SCHWINGER, New York, Dover. 
2. [2] E.C.G. Stueckelberg, Phys. Rev., t. 81, 1951, p. 130. Zbl0042.21303MR42968
3. [3] E.C.G. Stueckelberg and D. Rivier, Helv. Phys. Acta, t. 23, 1949, p. 216. Zbl0035.13403
4. [4] A. Salam, Phys. Rev., t. 82, 1951, p. 217 et t. 84, 1951, p. 426. Zbl0042.45501MR45603
5. [5] N.N. Bogoliusov and O.S. Parasiuk, Acta Math., t. 97, 1957, p. 227. Zbl0081.43302MR95027
6. [6] N.N. Bogoliubov and D.V. Shirkov, Introduction to the Theory of Quantized Fields, New York, Interscience, 1959. Zbl0088.21701MR110471
7. [7] K. Hepp, Commun. Math. Phys., t. 2, 1966, p. 301. 
8. [8] K. Hepp, Théorie de la renormalisation (Lecture Notes in Physics 2, Springer-Verlag, Berlin, 1969). MR277208
9. [9] K. Hepp, in : Statistical Mechanics and Quantum Field Theory, C. de Witt and R. Stora eds., New York, Gordon and Breach, 1971. 
10. [10] E. Speer, Generalized Feynmann Amplitudes (Ann. Math. Studies, Princeton University Press, Princeton, 1969). Zbl0172.27301MR241077
11. [11] W. Zimmermann, Commun. Math. Phys., t. 15, 1969, p. 208. Zbl0192.61203MR237150
12. [12] K. Nishijima, Phys. Rev., t. 119, 1960, p. 485 et t. 124, 1961, p. 255. Zbl0097.22503MR121162
13. [13] M. Muraskin and K. Nishijima, Phys. Rev., t. 122, 1961, p. 331. Zbl0111.44003MR121164
14. [14] O. Steinmann, Ann. Phys., t. 29, 1964, p. 76 et t. 36, 1966, p. 267. Zbl0141.45002MR186096
15. [15] H. Epstein and V. Glaser, prépublications de la R. C. P. No 25, vol. II (Secrétariat du Département de Mathématiques, 7, rue René-Descartes, Strasbourg), and reprinted in the Proceedings of the 1970Summer School of les Houches, (see [9]). 
16. [16] H. Epstein and V. Glaser, Proceedings of the Informal Meeting on Renormalization Theory, 1969, ICTP Trieste IC/69/121. 
17. [17] N.N. Bogoliubov, B.V. Medredev, M.K. Polivanov, Voprossy Teorii Dispersionnykh Sootnoshenii, Moscow, Fizmatgiz, 1958. 
18. [18] J. Schwinger, Proc. Nat. Acad. of Sciences, t. 37, 1951, p. 452 (reprinted in [1]). Zbl0044.43001MR45065
19. [19] H. Epstein, Nuovo Cimento, t. 27, 1963, p. 886. B. Schroer (unpublished). Zbl0135.44401MR149848
20. [20] B. Malgrange, Séminaire Schwartz No 21, 1959-1960. 
21. [21] L. Schwartz, Medd. Lunds Mat. Sem. (Suppl.), 1952, p. 196. Zbl0047.34903MR52555
22. [22] F.J. Dyson, Phys. Rev., t. 75, 1949, p. 1736 (reprinted in [1]). Zbl0033.14201
23. [23] J.C. Polkinghorne, Nuovo Cimento, t. 4, 1956, p. 216 ; O. Steinmann, Helv. Phys. Acta, t. 33, 1960, p. 257 et 347 ; D. Ruelle, Nuovo Cimento, t. 19, 1961, p. 356; MR85906
24. H. Araki and N. Burgoyne, Ibid., t. 8, 1960, p. 342 ; H. Araki, J. Math. Phys., t. 2, 1961, p. 163. MR127247
25. [24] J. Bros, Thesis, Paris, 1970; also Prépublications de la R. C. P. No. 25, Strasbourg, vol. 8. 
26. [25] H. Epstein, V. Glaser and R. Stora, The Geometry of the N-point Function in Quantum Field Theory, Proc. of the 1973, Nice Meeting on Hyperfunctions, to appear; J. Bros, H. Epstein, V. Glaser, and R. Stora, to appear. Zbl0317.32013
27. [26] K. Hepp, Commun. Math. Phys., t. 1, 1965, p. 95 ; also Axiomatic Field Theory, CHRÉ- TIEN and DESER, Eds., Gordon and Breach, New York, 1966. Zbl0128.45801
28. [27] K. Symanzik, Commun. Math. Phys., t. 16, 1970, p. 48. MR266541
29. [28] H. Epstein and V. Glaser, Contribution to the meeting on Renormalization theory, CNRS, Marseille, June 1971; CERN preprint TH 1344. 

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