In occasione della visita della Prof.ssa Annie Cuyt, Research Director del FWO (Flemish Research Council), nell'ambito dei Seminari Numlab di Analisi Numerica

terrà un seminario dal titolo

Padé approximation and Lebesgue constants

In one variable an

We show that this close connection can be preserved in several variables when starting from spherical orthogonal polynomials. We obtain Gaussian cubature rules with symbolic nodes and numeric weights, exactly integrating parameterized families of polynomial functions. The spherical orthogonal polynomials are also related to the homogeneous Padé approximants introduced a few decades ago. And their zero curves provide sets of bivariate interpolation points on the disc with the smallest Lebesgue constants currently known.