Edgeworth expansion on n-spheres and Jacobi hypergroups

DOI10.1017/S0004972700032378zbMath0926.60017OpenAlexW2100596408MaRDI QIDQ4236667

Gyula Pap, Michael Voit

Publication date: 29 November 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700032378

zbMATH Keywords

central limit theoremunit sphereEdgeworth expansionJacobi-type hypergroups

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Harmonic analysis on hypergroups (43A62) Convergence of probability measures (60B10)

Cites Work

• Positivity of the heat kernel for ultraspherical polynomials and similar functions
• Harmonic analysis of probability measures on hypergroups
• Rates of convergence to Gaussian measures on \(n\)-spheres and Jacobi hypergroups
• Positivity and the convolution structure for Jacobi series
• Banach algebras for Jacobi series and positivity of a kernel
• Random walk on spheres