Geodesic
On the lattice of subspaces of the Fourier ultrahyperfunctions
Sbornik. Mathematics, Tome 37 (1980) no. 1, pp. 118-132

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Two families of subspaces of Fourier ultrahyperfunctions are singled out, and it is shown that these families form distributive lattices of subspaces. The results obtained are applied to describe the Laplace transform on spaces of type $\Lambda'$ as well as analytic representations on spaces of type $\Phi'$. Bibliography: 16 titles. 
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     author = {V. V. Zharinov},
     title = {On the lattice of subspaces of the {Fourier} ultrahyperfunctions},
     journal = {Sbornik. Mathematics},
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V. V. Zharinov. On the lattice of subspaces of the Fourier ultrahyperfunctions. Sbornik. Mathematics, Tome 37 (1980) no. 1, pp. 118-132. http://geodesic.mathdoc.fr/item/SM_1980_37_1_a7/