Determinant inequalities concerning the solution of wave diffraction problems with several parallel Sommerfeld half planes (Q2869934)

In this paper, the author considers the problem of wave diffraction by Sommerfeld half planes. He shows that the problem can be represented by a Wiener-Hopf matrix and that its determinant satisfies the upper and lower bounds for the scatter's spacing resulting in sharpening Hadamard's inequality. The author's work is also related to infinite products of certain determinants, which could be of interest for number theory.