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math.CA2013
The Bergman Shift Operator on Polynomial Lemniscates
Brian Simanek
We investigate the relationship between the Bergman shift operator and the support of the corresponding measure. We pay special attention to the situation when the measure of ortho…
math.CA2013
Ratio Asymptotics, Hessenberg Matrices, and Weak Asymptotic Measures
Brian Simanek
We discuss the relationship between ratio asymptotics for general orthogonal polynomials and the asymptotics of the associated Bergman shift operator. More specifically, we conside…