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تسجيل مستخدم جديدA stationary set method for estimating oscillatory integrals
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We propose a new method of estimating oscillatory integrals, which we call a stationary set method. We use it to obtain the sharp convergence exponents of Tarrys problems in dimension two for every degree $kge 2$. As a consequence, we obtain sharp Fourier extension estimates for a family of monomial surfaces.
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