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math.AP2020
On the asymptotic properties of a canonical diffraction integral
Raphael C. Assier, I. David Abrahams
We introduce and study a new canonical integral, denoted , depending on two complex parameters and . It arises from the canonical problem of wave d…
math.AP2019
A surprising observation on the quarter-plane diffraction problem
Raphael C. Assier, I. David Abrahams
In this paper, we revisit Radlow's highly original attempt at a double Wiener-Hopf solution to the canonical problem of wave diffraction by a quarter-plane. Using a constructive ap…