On spectral expansions of piecewise smooth functions depending on the geodesic distance

Аннотация

We consider the expansion of a piecewise smooth function depending on the geodesic distance to some point in the eigenfunctions of the Beltrami-Laplace operator on an n-dimensional symmetric space of rank 1. We show that if the expansion converges at this point, then the function must have continuous derivatives up to and including the order (n − 3)/2.

Темы

Идентификаторы

DOI

10.1134/s0012266110060078

Цитирования и источники