Geodesic
Jost--Lehmann--Dyson representation in the spaces~$S'_\alpha$
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 2, pp. 147-155

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The Jost–Lehmana–Dyson integral representation is given a new derivation that can be readily generalized to the case of the spaces $S'_\alpha$. In particular, necessary and sufficient conditions are found which ensure the existence of the Jost–Lehmann–Dyson representation for generalized functions in these spaces. 
@article{TMF_1981_49_2_a0,
     author = {B. I. Zavialov},
     title = {Jost--Lehmann--Dyson representation in the spaces~$S'_\alpha$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {147--155},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a0/}
}
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B. I. Zavialov. Jost--Lehmann--Dyson representation in the spaces~$S'_\alpha$. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 2, pp. 147-155. http://geodesic.mathdoc.fr/item/TMF_1981_49_2_a0/