Session S32 - Special functions and orthogonal polynomials
Monday, July 12, 15:00 ~ 16:00 UTC-3
Signal processing miracles and the Korteweg-de Vries equation.
F. Alberto Grunbaum
UC Berkeley, USA - This email address is being protected from spambots. You need JavaScript enabled to view it.
We show that the master symmetries of the KdV equation give a way to extend the remarkable result of David Slepian (1964) in connection with the Bessel integral kernel and the existence of a differential operator that commutes with it. The original result of Slepian plays an important role in signal processing as well as in Random Matrix theory.