Estimates on the decay of the Laplace-Polya integral

Gergely Ambrus, Barnabás Gárgyán

The Laplace--Pólya integral, defined by $J_n(r)=\frac{1}{\pi }{\int }_{-\infty }^{\infty }{\mathrm{sinc}}^{n}t\cos (rt)\mathrm{d}t$, appears in several areas of mathematics. We study this q…