Voir la notice de l'article provenant de la source Math-Net.Ru
@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/} }
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/
[1] Greenleaf A., “Principal curvature and harmonic analysis”, Indiana Univ. Math. J., 30:4 (1981), 519–537 | DOI | MR | Zbl
[2] Stein E. M., Harmonic analysis, Princeton Univ. Press, Princeton, 1993 | MR | Zbl
[3] Ikromov I. A., Müller D., Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra, Ann. Math. Stud., 194, Princeton Univ. Press, Princeton–Oxford, 2016 | MR | Zbl
[4] Safarov A. R., “On the $\mathbb{L}^{p}$-bound for trigonometric integrals”, Anal. Math. J., 45:1 (2019), 153–176 | DOI | MR
[5] Magyar A., “On Fourier restriction and Newton polygon”, Proc. AMS, 137:2 (2009), 615–625 | DOI | MR | Zbl
[6] Gelfand I. M., Shilov G. E., Obobschennye funktsii i deistviya nad nimi, GIFML, M., 1959
[7] Laura De Carli, Alex Iosevich, “Some sharp restriction theorems for homogeneous manifolds”, Journal of Fourier Anal. and Appl., 4:1 (1998), 105–128 | DOI | MR | Zbl
[8] Alex Iosevich, “Fourier transform, $\mathbb{L}^{2}$ restriction theorem, and scaling”, Bolletino dell'Unione Math. Italiana ser. 8, 2-B:2 (1999), 383–387 | MR | Zbl
[9] Fedoryuk M. V., Metod perevala, Nauka, M., 1977
[10] Stein I., Veis G., Vvedenie v garmonicheskii analiz na evklidovykh prostranstvakh, Mir, M., 1974
[11] Chubarikov V. N., “O kratnykh ratsionalnykh trigonometricheskikh summakh i kratnykh integralakh”, Matem. zametki, 20:1 (1976), 61–68 | MR | Zbl
[12] Safarov A., “Otsenki nekotorykh kratnykh ostsillyatornykh integralov s polinomialnoi fazoi”, Uzbeksk. matem. zhurn., 2 (2012), 106–116