A Formula for Inserting Point Masses
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🧮 math.CA
math-phmath.MPmath.SP
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measureformulapointaddingcirclecoefficientsformedgive
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Let mu be a probability measure on the unit circle and nu be the measure formed by adding a pure point to mu. We give a formula for the Verblunsky coefficients of the perturbed measure, based on a result of Simon.
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