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Uniform spacing of zeros of orthogonal polynomials for locally doubling measures

Uniform spacing of zeros of orthogonal polynomials for locally doubling measures

Recently it has been shown, that if a weight has the doubling property on its support [− 1,1], then the zeros of the associated orthogonal polynomials are uniformly spaced: if θm,j and θm,j+1 are the places in [0,π], for which cosθm,j and cosθm,j+1 is the j-th and the j+1-th zero …