Geodesic
$L^p$-bound for the Fourier transform of surface-carried measures supported on hypersurfaces with $D_\infty$ type singularities
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 3, pp. 350-359.

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Estimate for Fourier transform of surface-carried measures supported on non-convex surfaces of three-dimensional Euclidean space is considered in this paper.The exact convergence exponent was found wherein the Fourier transform of measures is integrable in tree-dimensional space. This result gives an answer to the question posed by Erdösh and Salmhofer.
Keywords: oscillatory integral, surface-carried measure.
Mots-clés : Fourier transform 
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     title = {$L^p$-bound for the {Fourier} transform of surface-carried measures supported on hypersurfaces with $D_\infty$ type singularities},
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Nigina A. Soleeva. $L^p$-bound for the Fourier transform of surface-carried measures supported on hypersurfaces with $D_\infty$ type singularities. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 3, pp. 350-359. http://geodesic.mathdoc.fr/item/JSFU_2020_13_3_a8/

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