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Matrix valued orthogonal polynomials satisfying differential equations
(2007)
The theory of matrix valued orthogonal polynomials goes back to the fundamental works of M. G. Krein. If one is considering possible applications of these polynomials, it is natural to concentrate on those cases where some ...
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High-Energy Eigenfunctions of the Laplacian on the Torus and the Sphere with Nodal Sets of Complicated Topology
(Springer, 2021-04-17)
Let Σ be an oriented compact hypersurface in the round sphere Sn or in the flat torus Tn, n≥3. In the case of the torus, Σ is further assumed to be contained in a contractible subset of Tn. We show that for any sufficiently ...