Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure

A. Martinez-Finkelshtein, A. Sri Ranga, Daniel O. Veronese

Given a non-trivial Borel measure $\mu$ on the unit circle $\mathbb{T}$, the corresponding reproducing (or Christoffel-Darboux) kernels with one of the variables fixed at $z=1$ consti…