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Effective Estimation of Some Oscillatory Integrals Related to Infinitely Divisible Distributions by Bettin, Sandro; Drappeau, Sary is a scholarly article available to read on EtoBox.

What is Effective Estimation of Some Oscillatory Integrals Related to Infinitely Divisible Distributions about?

We present a practical framework to prove, in a simple way, two-terms asymptotic expansions for Fourier integrals $$ {\mathcal I}(t) = \int_{\mathbb R}({\rm e}^{it\phi(x)}-1) {\rm d} \mu(x) $$ where $\mu$ is a probability measure on $\mathbb{R}$ and $\phi$ is measurable. This applies to many basic cases, in link with Levy's continuity theorem. We present applications to limit laws related to rational continued fractions coefficients.

Author

Bettin, Sandro; Drappeau, Sary

Published

2020

Language

EN