D. O. Veronese

activity

20152017

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

9 citations · 14 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2017★ 5 cited

Christoffel formula for kernel polynomials on the unit circle

Cleonice F. Bracciali, Andrei Martínez-Finkelshtein, A. Sri Ranga +1

Given a nontrivial positive measure $μ$ on the unit circle, the associated Christoffel-Darboux kernels are $K_{n} (z, w; μ) = \sum_{k = 0}^{n} φ_{k} (w; μ) φ_{k} (z; μ)$ , $n \geq…

math.CA2016

Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences

Cleonice F. Bracciali, Jairo S. Silva, A. Sri Ranga +1

It was shown recently that associated with a pair of real sequences ${{c_{n}}_{n = 1}^{\infty}, {d_{n}}_{n = 1}^{\infty}}$ , with ${d_{n}}_{n = 1}^{\infty}$ a positive chain seque…

math.CA2015★ 9 cited

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 $μ$ on the unit circle $T$ , the corresponding reproducing (or Christoffel-Darboux) kernels with one of the variables fixed at $z = 1$ consti…