Eigenfunction Expansions on Geodesic Balls and Rank One Symmetric Spaces of Compact Type

Mark A. Pinsky*, William O. Bray

*Corresponding author for this work

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)347-369
Number of pages23
JournalAnnals of Global Analysis and Geometry
Volume18
Issue number3-4
DOIs
StatePublished - Jan 1 2000

Keywords

  • Eigenfunction
  • Jacobi polynomials
  • Laplacian
  • Symmetric spaces

ASJC Scopus subject areas

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology

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