Notes on the Szego minimum problem. I. Measures with deep zeroes
Notes on the Szego minimum problem. I. Measures with deep zeroes
The classical Szego polynomial approximation theorem states that the polynomials are dense in the space $L^2(\rho)$, where $\rho$ is a measure on the unit circle, if and only if the logarithmic integral of the measure $\rho$ diverges. In this note we give a quantitative version of Szego's theorem in the …