Localization Properties of Some Classes of Analytic Functionals Related to Quantum Gauge Theory
نویسنده
چکیده
Localization properties of generalized functions defined on a broad class of test function spaces consisting of entire analytic functions are studied. This class includes the Gelfand–Shilov spaces S α(R ) with β < 1 and provides a flexible distribution-theoretic framework for the treatment of quantum fields with a highly singular infrared behavior. It is shown that the notion of carrier cone which replaces the notion of support can be introduced in a consistent way for the considered analytic functionals. In particular, it is proved that every functional possesses a uniquely determined minimal carrier cone.
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