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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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Uniform approximation of continuous functions by smooth functions with no critical points on Hilbert manifolds
(2001)
We prove that every continuous function on a separable infinitedimensional Hilbert space X can be uniformly approximated by C∞ smooth functions with no critical points. This kind of result can be regarded as a sort of ...