ISSN:
1573-0530
Keywords:
81E05
;
81E10
;
46F05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We prove that the distributions defined on the Gelfand-Shilov spacesS α β withβ 〈 1 and, hence, more singular than hyperfunctions, retain the angular localizability property. Specifically, they have uniquely determined support cones. This result enables one to develop a distribution-theoretic technique suitable for the consistent treatment of quantum fields with arbitrarily singular ultraviolet and infrared behavior. The proof covering the most general and difficult caseβ = 0 is based on the use of the theory of plurisubharmonic functions and Hörmander'sL 2-estimates.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00750811
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