Oscillatory integrals with polynomial phase and regularity of distributions
Functional Analysis
2025-11-05 v1 Classical Analysis and ODEs
Abstract
We obtain dimension-free estimates for the modulus of continuity of densities of polynomial images of -concave and product measures. As a consequence, we settle a conjecture of A. Carbery and J. Wright (2001) on sharp upper bounds for oscillatory integrals over convex sets with polynomial phase.
Keywords
Cite
@article{arxiv.2511.02679,
title = {Oscillatory integrals with polynomial phase and regularity of distributions},
author = {Egor Kosov},
journal= {arXiv preprint arXiv:2511.02679},
year = {2025}
}