caa a22 4500 46903498X CHVBK 20180323132753.0 cr unu---uuuuu 170328e19921201xx s 000 0 eng 10.1007/BF01016400 doi (NATIONALLICENCE)springer-10.1007/BF01016400 Nonlocalizability and asymptotical commutativity [Elektronische Daten] [V. Fainberg, M. Soloviev] 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 Sβ, where 0<β<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. Plenum Publishing Corporation, 1993 Fainberg V. aut Soloviev M. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 93/3(1992-12-01), 1438-1449 0040-5779 93:3<1438 1992 93 11232 https://doi.org/10.1007/BF01016400 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01016400 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fainberg V. aut NATIONALLICENCE 700 1- Soloviev M. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 93/3(1992-12-01), 1438-1449 0040-5779 93:3<1438 1992 93 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer