Decomposition theorems and kernel theorems for a class of functional spaces
نویسندگان
چکیده
منابع مشابه
Decomposition Theorems and Kernel Theorems for a Class of Functional Spaces
We prove new theorems about properties of generalized functions defined on Gelfand-Shilov spaces S with 0 ≤ β < 1. For each open cone U ⊂ R we define a space S(U) which is related to S(R) and consists of entire analytic functions rapidly decreasing inside U and having order of growth ≤ 1/(1 − β) outside the cone. Such sheaves of spaces arise naturally in nonlocal quantum field theory, and this ...
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ژورنال
عنوان ژورنال: Izvestiya: Mathematics
سال: 2006
ISSN: 1064-5632,1468-4810
DOI: 10.1070/im2006v070n05abeh002338