Title: Asymptotic behaviour of the Christoffel functions on the Unit Ball in the presence of a Mass on the Sphere,
Abstract: We present a family of mutually orthogonal polynomials on the unit ball with
respect to an inner product which includes a mass uniformly distributed on the
sphere. First, connection formulas relating these multivariate orthogonal
polynomials and the classical ball polynomials are obtained. Then, using the
representation formula for these polynomials in terms of spherical harmonics
analytic properties will be deduced. Finally, we analyze the asymptotic
behaviour of the Christoffel functions.