Axioms for Euclidean Green's functions II (original) (raw)

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References

1. Constantinescu, F., Thalheimer, W.: Euclidean Green's functions for Jaffe fields. Commun. math. Phys.38, 299–316 (1974)
   Google Scholar
2. Epstein, H.: Some analytic properties of scattering amplitudes in quantum field theory. In: Chretien, M., Deser, S. (Eds.): Brandeis lectures 1965, Vol. I. New York: Gordon and Breach 1966
   Google Scholar
3. Fröhlich, J.: Schwinger functions and their generating functionals. Helv. Phys. Acta47, 265 (1974)
   Google Scholar
4. Gelfand, I.M., Shilov, G.E.: Generalized functions, Vol. II, p. 227. New York and London: Academic Press 1968
   Google Scholar
5. Glaser, V.: The positivity condition in momentum space. In: Problems of theoretical physics. Moscow: Nauka 1969
   Google Scholar
6. Glaser, V.: On the equivalence of the Euclidean and Wightman formulations of field theory. Commun. Math. Phys.37, 257 (1974)
   Google Scholar
7. Glimm, J., Jaffe, A.: A remark on the existence of ϕ 44 . Phys. Rev. Lett.33, 440–441 (1974)
   Google Scholar
8. Glimm, J., Jaffe, A., Spencer, T.: The Wightman axioms and particle structure in the_P_(ϕ)2 quantum field model. Ann. Math.100, 585 (1974)
   Google Scholar
9. Hörmander, L.: On the division of distributions by polynomials. Arkiv Mat.3, 555 (1958)
   Google Scholar
10. Mandelbrojt, S.: Séries adhérentes, régularisation des suites, applications. Paris: Gauthier-Villars 1952
    Google Scholar
11. Nelson, E.: Construction of quantum fields from Markoff fields. J. Funct. Anal.12, 97 (1973)
    Google Scholar
12. Osterwalder, K., Schrader, R.: Axioms for Euclidean Green's functions. Commun. math. Phys.31, 83 (1973)
    Google Scholar
13. Osterwalder, K.: Euclidean Green's functions and Wightman distributions. In: Velo, G., Wightman, A.S. (Eds.): Constructive quantum field theory, Lecture notes in physics. Berlin-Heidelberg-New York: Springer 1973
    Google Scholar
14. Schwartz, L.: Théorie des distributions, p. 260. Paris: Hermann 1966
    Google Scholar
15. Simon, B.: Positivity of the Hamiltonian semigroup and the construction of Euclidean region fields. Helv. Phys. Acta46, 686 (1973)
    Google Scholar
16. Simon, B.: Private communication
17. Simon, B.: Distributions and their hermite expansions. J. Math. Phys.12, 140 (1971)
    Google Scholar
18. Stein,M., Weiss,G.: Fourier analysis on Euclidean spaces, p. 38. Princeton University Press 1971
19. Velo, G., Wightman, A.S. (Eds.): Constructive quantum field theory, Lecture notes in physics. Berlin-Heidelberg-New York: Springer 1973
    Google Scholar
20. Vladimirov, V.S.: Methods of the theory of functions of several complex variables. Cambridge and London: MIT Press 1966
    Google Scholar
21. Whitney, H.: Analytic extensions of differentiable functions defined in closed sets. Trans. Amer. Math. Soc.36, 63 (1934)
    Google Scholar

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