Geodesic
Nonlocalizability and asymptotical commutativity
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 3, pp. 514-528 Cet article a éte moissonné depuis la source Math-Net.Ru

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The mathematical formalism commonly used in treating nonlocal highly singular interactions is revised. The notion of a support cone is introduced, which replaces that of support for nonlocalizable distributions. Such support cones are proven to exist for distributions defined on the Gelfand–Shilov spaces$S^\beta $, where $0<\beta <1$.This result leads to a refinement of previous generalizations of the local commutativity condition to nonlocal quantum fields. For string propagators, a new derivation of a representation similar to that of Källen–Lehmann is proposed. It is applicable to any initial and final string configurations and manifests exponential growth of spectral densities intrinsic in nonlocalizable theories. 
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}
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V. Ya. Fainberg; M. A. Soloviev. Nonlocalizability and asymptotical commutativity. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 3, pp. 514-528. http://geodesic.mathdoc.fr/item/TMF_1992_93_3_a8/

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