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A study of Feynman integrals by micro-differential equations. (English) Zbl 0392.46025


MSC:

46F15 Hyperfunctions, analytic functionals
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
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[1] Branson, D.: Nuovo Cimento54A, 217–233 (1968)
[2] Chandler, C., Stapp, H.P.: J. Math. Phys.10, 826–859 (1969) · Zbl 0181.56803
[3] Eden, R.J.: Phys. Rev.121, 1567–1576 (1961)
[4] Eden, R.J., Landshoff, P.V., Olive, D.I., Polkinghorne, J.C.: The analyticS-matrix. Cambridge: Cambridge University Press 1966 · Zbl 0139.46204
[5] Kashiwara, M., Kawai, T.: J. Math. Soc. Japan27, 359–404 (1975) · Zbl 0305.35066
[6] Kashiwara, M., Kawai, T.: Publ. RIMS Kyoto Univ.12, Suppl., 131–140 (1977) · Zbl 0449.35095
[7] Kashiwara, M., Kawai, T.: Holonomic character and local monodromy structure of Feynman integrals. Commun. math. Phys.54, 121–134 (1977) · Zbl 0367.46039
[8] Kashiwara, M., Kawai, T.: Holonomic character and local monodromy structure of Feynman integrals. II. (in preparation) · Zbl 0367.46039
[9] Kashiwara, M., Kawai, T., Stapp, H.P.: Publ. RIMS Kyoto Univ.12, Suppl., 141–146 (1977) · Zbl 0443.35059
[10] Kawai, T., Stapp, H.P.: Publ. RIMS Kyoto Univ.12, Suppl., 155–232 (1977) · Zbl 0368.35067
[11] Landshoff, P.V., Olive, D.I., Polkinghorne, J.C.: Nuovo Cimento43A, 444–453 (1966)
[12] Landshoff, P.V., Polkinghorne, J.C., Taylor, J.C.: Nuovo Cimento19, 939–952 (1961) · Zbl 0126.45106
[13] Nakanishi, N.: Graph theory and Feynman integrals. New York-London-Paris: Gordon and Breach 1971 · Zbl 0212.29203
[14] Oshima, T.: J. Fac. Sci. Univ. Tokyo Sec. IA21, 43–83 (1974)
[15] Pham, F.: Ann. Inst. H. Poincaré6A, 89–204 (1967)
[16] Regge, T.: Algebraic topology methods in the theory of Feynman relativistic amplitudes. In: Report of battle recountres, pp. 433–458. New York: Benjamin 1968 · Zbl 0174.28202
[17] Regge, T.: Feynman integrals. In: Actes Congrès Intern. Math. (Nice), Tome 3, pp. 9–14. Paris: Gauthier-Villars 1970
[18] Regge, T., Speer, E.R., Westwater, M.J.: Fortschr. Phys.20, 365–420 (1972)
[19] Sato, M.: Recent development in hyperfunction theory and its application to physics. Lecture notes in physics, Vol. 39, pp. 13–29. Berlin-Heidelberg-New York: Springer 1975 · Zbl 0331.46033
[20] Sato, M., Kawai, T., Kashiwara, M.: Microfunctions and pseudo-differential equations. Lecture notes in mathematics, Vol. 287, pp. 265–529. Berlin-Heidelberg-New York: Springer 1973 · Zbl 0277.46039
[21] Speer, E.R.: Generalized Feynman amplitudes. Princeton: Princeton University Press 1969
[22] Speer, E.R., Westwater, M.F.: Ann. Inst. H. Poincaré14A, 1–55 (1971)
[23] Westwater, M.J.: Helv. Phys. Acta40, 389–400 (1967)
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