Geodesic
Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals.~II
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 12-29

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Laplace transformation is used to solve the problem of the existence of a single “covering” functional for a given family of analytic functionals and the analogous problem for analytic functions. Convolution and its properties on spaces of type $\Lambda'$ are studied. The Fourier transformation of Fourier hyperfunctions with supports in properly convex sets is described. 
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     author = {V. V. Zharinov},
     title = {Laplace transformation of {Fourier} hyperfunctions and related classes of analytic {functionals.~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {12--29},
     publisher = {mathdoc},
     volume = {37},
     number = {1},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a1/}
}
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V. V. Zharinov. Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals.~II. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 12-29. http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a1/