Geodesic
On the Representation of Functions as Fourier Integrals
Matematičeskie zametki, Tome 93 (2013) no. 4, pp. 555-565.

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Sufficient conditions for the representation of functions as the Fourier integral in $\mathbb R^d$ of a function belonging to the space $L_1\cap L_p$, where $0$, are obtained. The sharpness of these conditions is shown.
Keywords: Fourier integral, Euclidean space $\mathbb R^d$, the space $L_p$
Mots-clés : $0 
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Yu. S. Kolomoitsev. On the Representation of Functions as Fourier Integrals. Matematičeskie zametki, Tome 93 (2013) no. 4, pp. 555-565. http://geodesic.mathdoc.fr/item/MZM_2013_93_4_a6/

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