Geodesic
Fourier transformation of a~class of hyperfunctions and formulation of the condition of local commutativity in the framework of localizable quantum field theory in terms of hyperfunctions
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 2, pp. 199-213

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Theory of hyperfunctions is used for the formulation of aximatic local quantum field theory. Class $\mathscr L$ of hyperfunctions is introduced, which are local in coordinate as well as in the momentum space. Direct and inverse Fourier transformation of the hyperfunctions of the class $\mathscr L$ is defined and the relation of these hyperfunctions to generalized functions from the space $S_1{}^{1^\prime}$ is established. On the basis of notion of support of the hyper function the locality axiom is formulated for localizable field theories. 
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     author = {G. D. Romanko and I. V. Khimich},
     title = {Fourier transformation of a~class of hyperfunctions and formulation of the condition of local commutativity in the framework of localizable quantum field theory in terms of hyperfunctions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {199--213},
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     volume = {23},
     number = {2},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a4/}
}
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G. D. Romanko; I. V. Khimich. Fourier transformation of a~class of hyperfunctions and formulation of the condition of local commutativity in the framework of localizable quantum field theory in terms of hyperfunctions. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 2, pp. 199-213. http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a4/