Geodesic
On a problem of restriction of Fourier transform on a hypersurface
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2019), pp. 66-72

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This paper is devoted to the restriction problem of Fourier transform to model hypersurfaces. We show that the Littlewood–Paley methods allow to obtain sharp convervence estimate for the summability exponent. These estimates improve results by A. Greenleaf for model hypersurfaces.
Mots-clés : Fourier transform
Keywords: summation functions, restriction problem. 
@article{IVM_2019_4_a5,
     author = {A. R. Safarov},
     title = {On a problem of restriction of {Fourier} transform on a hypersurface},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {66--72},
     publisher = {mathdoc},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_4_a5/}
}
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A. R. Safarov. On a problem of restriction of Fourier transform on a hypersurface. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2019), pp. 66-72. http://geodesic.mathdoc.fr/item/IVM_2019_4_a5/