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 TMF, 1976, Volume 26, Number 3, Pages 309–315 (Mi tmf3224)

Spectral properties of bilocal operators in the expansion of a product of local operators on the light cone

Yu. G. Shondin

Abstract: A study is made of the spectral properties of bilocal operators in the expansion of a product of operators on the cone in the Wilson–Zimmermann approach [1–4]. It is shown that the spectral condition and polynomial boundedness lead to analyticity of the matrix elements of the biloeal operators in coordinate space. A method is developed for separating out from the general expansion the operators in which the spectral properties of the bilocal operators can be fixed explicitly.

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English version:
Theoretical and Mathematical Physics, 1976, 26:3, 208–212

Bibliographic databases:

Citation: Yu. G. Shondin, “Spectral properties of bilocal operators in the expansion of a product of local operators on the light cone”, TMF, 26:3 (1976), 309–315; Theoret. and Math. Phys., 26:3 (1976), 208–212

Citation in format AMSBIB
\Bibitem{Sho76} \by Yu.~G.~Shondin \paper Spectral properties of bilocal operators in the expansion of a~product of local operators on the light cone \jour TMF \yr 1976 \vol 26 \issue 3 \pages 309--315 \mathnet{http://mi.mathnet.ru/tmf3224} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=449330} \zmath{https://zbmath.org/?q=an:0333.47017|0418.47019} \transl \jour Theoret. and Math. Phys. \yr 1976 \vol 26 \issue 3 \pages 208--212 \crossref{https://doi.org/10.1007/BF01032090}