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math.CA2020
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…
math.QA2020
Bivariate Continuous q-Hermite Polynomials and Deformed Quantum Serre Relations
W. Riley Casper, Stefan Kolb, Milen Yakimov
We introduce bivariate versions of the continuous q-Hermite polynomials. We obtain algebraic properties for them (generating function, explicit expressions in terms of the univaria…