Uniform Estimates for the Fourier Transform of Surface Carried Measures in ℝ3 and an Application to Fourier Restriction

Author:

Ikromov Isroil A.,Müller Detlef

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Analysis

Reference21 articles.

1. Arhipov, G.I., Karacuba, A.A., Čubarikov, V.N.: Trigonometric integrals. Izv. Akad. Nauk SSSR, Ser. Mat. 43, 971–1003 (1979), also see p. 1197 (in Russian); English translation in Math. USSR-Izv. 15, 211–239 (1980)

2. Arnol’d, V.I.: Remarks on the method of stationary phase and on the Coxeter numbers. Usp. Mat. Nauk 28, 17–44 (1973) (in Russian); English translation in Russ. Math. Surv. 28, 19–48 (1973)

3. Colin de Verdière, I.: Nombre de points entiers dans une famille homothetique de domains de ${\Bbb{R}}^{n}$ . Ann. Sci. Ecole Norm. Super. 10, 559–575 (1974)

4. Denef, J., Nicaise, J., Sargos, P.: Oscillatory integrals and Newton polyhedra. J. Anal. Math. 95, 147–172 (2005)

5. Domar, Y.: On the Banach algebra A(G) for smooth sets $\Gamma \subset {\Bbb{R}}^{n}$ . Comment. Math. Helv. 52(3), 357–371 (1977)

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