Geodesic
Spectral properties of bilocal operators in the expansion of a product of local operators on the light cone
Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 3, pp. 309-315 
Yu. G. Shondin. Spectral properties of bilocal operators in the expansion of a product of local operators on the light cone. Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 3, pp. 309-315. http://geodesic.mathdoc.fr/item/TMF_1976_26_3_a2/
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     title = {Spectral properties of bilocal operators in the expansion of a~product of local operators on the light cone},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_26_3_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] K. Wilson, Phys. Rev., 179 (1969), 1499 | DOI | MR

[2] K. Wilson, W. Zimmermann, Commun. Math. Phys., 24 (1972), 87 | DOI | MR | Zbl

[3] P. Otterson, W. Zimmermann, Commun. Math. Phys., 24 (1972), 107 | DOI | MR | Zbl

[4] W. Zimmermann, Lecture notes in phys., 17 (1973), 343 | DOI

[5] N. N. Bogolyubov, V. S. Vladimirov, A. N. Tavkhelidze, TMF, 12 (1972), 3 ; Б. И. Завьялов, ТМФ, 17 (1973), 178

[6] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, «Nauka», 1964 | MR

[7] Yu. G. Shondin, TMF, 26 (1976), 425 | Zbl