349 citations · 1.6k across the 52 of their papers we have counts for
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Green's function for the Hodge Laplacian on some classes of Riemannian and Lorentzian symmetric spaces
Alberto Enciso, Niky Kamran
We compute the Green's function for the Hodge Laplacian on the symmetric spaces M\timesΣ, where M is a simply connected n-dimensional Riemannian or Lorentzian manifold of constant…
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…