A stationary set method for estimating oscillatory integrals

  • Saugata Basu

    Purdue University, West Lafayette, USA
  • Shaoming Guo

    Nankai University, Tianjin, P. R. China; University of Wisconsin-Madison, Madison, USA
  • Ruixiang Zhang

    University of California at Berkeley, Berkeley, USA
  • Pavel Zorin-Kranich

    University of Bonn, Bonn, Germany
A stationary set method for estimating oscillatory integrals cover
Download PDF

A subscription is required to access this article.

Abstract

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 . As a consequence, we obtain sharp Fourier extension estimates for a family of monomial surfaces.

Cite this article

Saugata Basu, Shaoming Guo, Ruixiang Zhang, Pavel Zorin-Kranich, A stationary set method for estimating oscillatory integrals. J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1506