Singular Oscillatory Integrals on R^n
Classical Analysis and ODEs
2013-10-08 v3
Abstract
Let Pd,n denote the space of all real polynomials of degree at most d on R^n. We prove a new estimate for the logarithmic measure of the sublevel set of a polynomial P in Pd,1. Using this estimate, we prove a sharp estimate for a singular oscillatory integral on R^n.
Keywords
Cite
@article{arxiv.0707.2757,
title = {Singular Oscillatory Integrals on R^n},
author = {M. Papadimitrakis and I. R. Parissis},
journal= {arXiv preprint arXiv:0707.2757},
year = {2013}
}
Comments
final version, 10 pages, small typos corrected, one reference added. To appear in Math. Z