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Beneteau: Zeros of optimal polynomial approximants and Jacobi matrices

Tid: On 2017-06-07 kl 11.00 - 12.00

Plats: Room 306, building 6, Kräftriket, Department of Mathematics, Stockholm University

Medverkande: Beneteau, Catherine (University of South Florida)

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Abstract: In this talk, I will introduce some polynomials that are best approximants in some sense to reciprocals of functions in the Bergman spaces of the disk. I will discuss the extremal problem of finding a zero of minimal modulus, and will show how that extremal problem is related to Jacobi matrices and real orthogonal polynomials.