### Analysis Learning Seminar Title: The Gaussian limit of Spherical integrals and Polynomials on High Dimensional Spheres Amy Peterson

Friday, April 5, 2019
3:30pm – 4:30pm

Storrs Campus
MONT 313

Abstract: We show in detail that the limit of spherical surface integrals taken over slices of a high dimensional sphere is a Gaussian integral on an affine plane of finite codimension in infinite dimensional space. We then utilize these ideas to show that a natural class of orthogonal polynomials on high dimensional spheres limit to Hermite polynomials

Contact:

Murat Akman and Vyron Vellis

Analysis Learning Seminar (primary), UConn Master Calendar