Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
26 (1985), S. 2335-2341
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The asymptotic behaviors of tempered distributions with support in a convex, closed cone are classified by means of group theory. The notion of regularly varying distribution is introduced. An Abelian–Tauberian theorem for regularly varying tempered distributions, which generalizes the one-dimensional Abelian–Tauberian theorem of Hardy–Littlewood–Karamata and the many-dimensional extension due to Vladimirov, is proved. Applications to n-point functions are also presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.526817
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