Decouplings for Real Analytic Surfaces of Revolution

TL;DR

This paper extends decoupling results to real analytic surfaces of revolution in three-dimensional space, including examples like the torus and perturbed cone, advancing understanding in harmonic analysis.

Contribution

It introduces new decoupling theorems for real analytic surfaces of revolution, broadening the scope of previous harmonic analysis results.

Findings

Decoupling results successfully extended to surfaces like the torus and perturbed cone.

Provides new analytical tools for studying harmonic analysis on surfaces of revolution.

Enhances understanding of Fourier restriction phenomena on these surfaces.

Abstract

We extend the decoupling results of the first two authors to the case of real analytic surfaces of revolution in $\mathbb{R}^3$. New examples of interest include the torus and the perturbed cone.