Geodesic
A Theorem of Paley--Wiener Type for Ultradistributions
Matematičeskie zametki, Tome 85 (2009) no. 6, pp. 894-914

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Using the Fourier–Laplace transformation of functionals, we give a description of the spaces dual to the spaces of rapidly decreasing infinitely differentiable functions on an unbounded closed convex set in $\mathbb R^n$.
Mots-clés : ultradistribution, Fourier–Laplace transformation, Lebesgue measure.
Keywords: Paley–Wiener theorem, holomorphic function, plurisubharmonic function 
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     author = {I. Kh. Musin and P. V. Fedotova},
     title = {A {Theorem} of {Paley--Wiener} {Type} for {Ultradistributions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {894--914},
     publisher = {mathdoc},
     volume = {85},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a7/}
}
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I. Kh. Musin; P. V. Fedotova. A Theorem of Paley--Wiener Type for Ultradistributions. Matematičeskie zametki, Tome 85 (2009) no. 6, pp. 894-914. http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a7/