Work

A stationary set method for estimating oscillatory integrals

Year: 2024

Type: 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 k\ge 2 . As a consequence, we obtain sharp L^{\infty} \to L^{p} Fourier extension estimates for a family of monomial surfaces.

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/1506

Authors: Saugata Basu, Shaoming Guo, Ruixiang Zhang, Pavel Zorin-Kranich

Institutions: Purdue University West Lafayette, University of Wisconsin–Madison, Nankai University, University of California, Berkeley, University of Bonn

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W3137267201

FWCI:

Cites: 30

Cited by: 3

Related to: 10