Article ID Journal Published Year Pages File Type
4622095 Journal of Mathematical Analysis and Applications 2008 9 Pages PDF
Abstract

In this paper, first we show that an analogy of the Christoffel–Darboux formula holds for the zonal spherical functions for the Gelfand pair (U(n),U(n−1)). Next, making use of it, we deal with the problem on point-wise convergence of Fourier expansion by means of the zonal spherical functions for (U(n),U(n−1)).

Related Topics
Physical Sciences and Engineering Mathematics Analysis