Geodesic
On the Paley-Wiener-Schwartz isomorphism in Hilbert spaces
Portugaliae mathematica, Tome 43 (1985) no. 2, pp. 235-247.

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Keywords: Paley-Wiener-Schwartz isomorphism in Hilbert spaces, Fréchet space, Fourier transform, space of all holomorphic functions on the complexification 
@article{PORMA_1985__43_2_114506,
     author = {Colombeau, J.F. and Paques, O.T.W.},
     title = {On the {Paley-Wiener-Schwartz} isomorphism in {Hilbert} spaces},
     journal = {Portugaliae mathematica},
     pages = {235--247},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {1985},
     mrnumber = {0886669},
     zbl = {0633.46041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PORMA_1985__43_2_114506/}
}
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Colombeau, J.F.; Paques, O.T.W. On the Paley-Wiener-Schwartz isomorphism in Hilbert spaces. Portugaliae mathematica, Tome 43 (1985) no. 2, pp. 235-247. http://geodesic.mathdoc.fr/item/PORMA_1985__43_2_114506/