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arXiv · 0707.2757

Singular Oscillatory Integrals on R^n

M. Papadimitrakis·I. R. Parissis
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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.

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BibTeXRIS

M. Papadimitrakis, I. R. Parissis. 2009-05-14. Singular Oscillatory Integrals on R^n. https://doi.org/10.1007/s00209-009-0559-y

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