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 
@article{MZM_2013_93_4_a6,
     author = {Yu. S. Kolomoitsev},
     title = {On the {Representation} of {Functions} as {Fourier} {Integrals}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {555--565},
     publisher = {mathdoc},
     volume = {93},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_4_a6/}
}
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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/