Localization properties of highly singular generalized functions |
| |
Authors: | A G Smirnov |
| |
Institution: | (1) Tamm Theory Department, Lebedev Physical Institute, RAS, Moscow, Russia |
| |
Abstract: | We study the localization properties of generalized functions defined on a broad class of spaces of entire analytic test functions.
This class, which includes all Gelfand-Shilov spaces S
α
β
(R
k
) with β < 1, provides a convenient language for describing quantum fields with a highly singular infrared behavior. We show
that the carrier cone notion, which replaces the support notion, can be correctly defined for the considered analytic functionals.
In particular, we prove that each functional has a uniquely determined minimal carrier cone.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 2, pp. 179–194, May, 2007. |
| |
Keywords: | generalized function analytic functional infrared singularity carrier cone plurisubharmonic function H?rmander’ s L 2 estimates |
本文献已被 SpringerLink 等数据库收录! |
|