2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57330Landau, Pollak, Slepian, and Tracy, Widom discovered that certain integral operators with so called Bessel and Airy kernels possess commuting differential operators and found important applications of this phenomena in time-band limiting and random matrix theory. In this paper we announce that very large classes of integral operators derived from bispectral algebras of rank 1 and 2 (parametrized by lagrangian grassmannians of infinitely large size) have this property. The above examples come from special points in these grassmannians.12 pages, AMS LatexMathematical PhysicsClassical Analysis and ODEstext