Orthogonal polynomials on the unit circle : Steklov problems and weight perturbations

Author / Creator

Rush, John Keith, author

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Online

Physical

Summary

We consider problems inspired by the conjecture of Steklov and recent work on sharp estimates in this conjecture. We use various techniques to investigate Steklov problems in the measure dimension ...

We consider problems inspired by the conjecture of Steklov and recent work on sharp estimates in this conjecture. We use various techniques to investigate Steklov problems in the measure dimension as well as that of the Verblunsky parameters. In particular, we consider continuous weights, BMO weights, randomized measures, and the Verblunsky asymptotics of a measure which violates the Steklov conjecture.

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