4 papers · 1 filter
Reflective prolate-spheroidal operators and the adelic Grassmannian
W. Riley Casper, F. Alberto Grünbaum, Milen Yakimov +1
Beginning with the work of Landau, Pollak and Slepian in the 1960s on time-band limiting, commuting pairs of integral and differential operators have played a key role in signal pr…
Reflective prolate-spheroidal operators and the KP/KdV equations
W. Riley Casper, F. Alberto Grunbaum, Milen Yakimov +1
Commuting integral and differential operators connect the topics of Signal Processing, Random Matrix Theory, and Integrable Systems. Previously, the construction of such pairs was…
The Symmetric Hypergeometric Matrix Differential Operators
W. Riley Casper
We obtain an explicit classification of all real hypergeometric Bochner pairs, ie. pairs consisting of a real hypergeometric different…
Integral operators, bispectrality and growth of Fourier algebras
W. Riley Casper, Milen T. Yakimov
In the mid 80's it was conjectured that every bispectral meromorphic function gives rise to an integral operator which possesses a commuting differential operat…