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A Stationary Set Method for Estimating Oscillatory Integrals by Basu, Saugata; Guo, Shaoming; Zhang, Ruixiang; Zorin-Kranich, Pavel is a scholarly article available to read on EtoBox.

What is A Stationary Set Method for Estimating Oscillatory Integrals about?

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 Tarry's problems in dimension two for every degree $k\ge 2$. As a consequence, we obtain sharp Fourier extension estimates for a family of monomial surfaces.

Author

Basu, Saugata; Guo, Shaoming; Zhang, Ruixiang; Zorin-Kranich, Pavel

Published

2021

Language

EN