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The Point Mass Problem on the Real Line
point mass asymptotics orthogonal polynomials point mass asymptotics orthogonal polynomials
2010/12/1
This paper solves the point mass problem on the real line when the recurrence coefficients are asymptotically periodic.First, we give formulae for the perturbed orthogonal polynomi-als and the perturb...
Point mass insertion on the real line and non-exponential perturbation of the recursion coefficients
point perturbation bounded variation asymptotics of orthogonal polynomials
2010/12/1
We present the construction of a probability measure d with compact support on R such that adding a discrete pure point results in changes in the recursion coecients without expo-
nential decay.