We find sharp conditions for the pointwise convergence of eigenfunction expansions associated with the Laplace operator and other rotationally invariant differential operators. Specifically, we consider this problem for expansions associated with certain radially symmetric operators and general boundary conditions and the problem in the context of Jacobi polynomial expansions. The latter has immediate application to Fourier series on rank one symmetric spaces of compact type.
- Jacobi polynomials
- Symmetric spaces
ASJC Scopus subject areas
- Political Science and International Relations
- Geometry and Topology