Bochner-Riesz means on symmetric spaces

DOI10.2748/TMJ/1178224898zbMath0918.43006OpenAlexW2065566808MaRDI QIDQ1283238

Christopher Meaney, Elena Prestini

Publication date: 17 August 1999

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224898

zbMATH Keywords

maximal functionLaplace-Beltrami operatorspherical functioncomplex interpolationBochner-Riesz mean operatorsrank one Riemannian symmetric space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90) Elliptic integrals as hypergeometric functions (33C75) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (1)

Equiconvergence theorems for Sturm Liouville expansions and sets of divergence for Bochner Riesz means in Sobolev spaces

Cites Work

• Almost everywhere convergence of Riesz means on certain noncompact symmetric spaces
• The Kunze-Stein phenomenon
• Expansions for spherical functions on noncompact symmetric spaces
• Almost everywhere convergence of the inverse spherical transform on \(\text{SL}(2,\mathbb{R})\)
• Almost everywhere convergence of inverse spherical transforms on noncompact symmetric spaces
• Divergence of eigenfunction expansions
• Convergence and Divergence Almost Everywhere of Spherical Means for Radial Functions

This page was built for publication: Bochner-Riesz means on symmetric spaces