Preprint FIAN/TD/13-05 math-ph/0507011 CARRIER CONES OF ANALYTIC FUNCTIONALS
نویسنده
چکیده
We prove that every continuous linear functional on the space S(R) consisting of the entire analytic functions whose Fourier transforms belong to the Schwartz space D has a unique minimal carrier cone in R, which substitutes for the support. The proof is based on a relevant decomposition theorem for elements of the spaces S(K) associated naturally with closed cones K ⊂ R. These results, essential for applications to nonlocal quantum field theory, are similar to those obtained previously for functionals on the Gelfand-Shilov spaces S α, but their derivation is more sophisticated because S(K) are not DFS spaces and have more complicated topological structure.
منابع مشابه
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