Probability Measures with Reflection Coefficients {an}∈ℓ4 and {an+1−an}∈ℓ2 are Erdős Measures Original Research Article

In this article, we consider the system of polynomials orthogonal on the unit circle. It is proved that the conditions {an}∈ℓ4 and {an+1−an}∈ℓ2 imposed on the reflection parameters {an} are sufficient for the associated measure to be Erdős one.