349 citations · 1.6k across the 52 of their papers we have counts for
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An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
David Gomez-Ullate, Niky Kamran, Robert Milson
We present two infinite sequences of polynomial eigenfunctions of a Sturm-Liouville problem. As opposed to the classical orthogonal polynomial systems, these sequences start with a…
An Extension of Bochner's Problem: Exceptional Invariant Subspaces
David Gomez-Ullate, Niky Kamran, Robert Milson
A classical result due to Bochner characterizes the classical orthogonal polynomial systems as solutions of a second-order eigenvalue equation. We extend Bochner's result by droppi…
Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics
Felix Finster, Niky Kamran, Joel Smoller +1
This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr m…