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On the "Edge of the Wedge" Theorem

Published online by Cambridge University Press:  20 November 2018

Felix E. Browder*
Affiliation:
Massachusetts Institute of Technology and Yale University
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In the mathematical justification of the formal calculations of axiomatic quantum field theory and the theory of dispersion relations, a strategic role is played by a theorem on analytic functions of several complex variables which has been given the euphonious name of the edge of the wedge theorem. The statement of the theorem seems to be due originally to N. Bogoliubov (cf. 3, Mathematical Appendix, pp. 654-673) but no complete proof which is fully satisfactory from the mathematical point of view has yet appeared in the literature.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1963

References

1. Barros-Neto, J. and Browder, F. E., The analyticity of kernels, Can. J. Math., 13 (1961), 645649.Google Scholar
2. Bogoliubov, N., Introduction to the theory of quantized fields, New York (1959).Google Scholar
3. Bremmerman, H. J., Oehme, R., and Taylor, J. G., Proof of dispersion relations in quantized field theories, Phys. Rev., 109 (1958), 21782190.Google Scholar
4. Browder, F. E., Real analytic functions on product spaces and separate analyticity, Can. J. Math., 18 (1961), 650656.Google Scholar
5. Omnes, R., Démonstration des relations de dispersion in Dispersion relations and elementary particles (New York and Paris, 1960), pp. 319385.Google Scholar
6. Schwartz, L., Théorie des distributions, 2 vols., Paris (1950-1).Google Scholar
7. Wightman, A., Analytic functions of several complex variables in Dispersion relations and elementary particles (New York and Paris, 1960), pp. 229315.Google Scholar