Almost everywhere convergence of inverse spherical transforms on noncompact symmetric spaces

DOI10.1006/JFAN.1997.3123zbMath0883.43012OpenAlexW2011397858MaRDI QIDQ1370566

Elena Prestini, Christopher Meaney

Publication date: 16 March 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3123

zbMATH Keywords

spherical functionsbounded operatorRiemannian symmetric space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis and spherical functions (43A90)

Related Items (3)

Singular integrals with exponential weights ⋮ Bochner-Riesz means on symmetric spaces ⋮ Non-integrable multipliers for the Jacobi transform

Cites Work

• Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an \(L^ 2\)-localisation principle
• Almost everywhere convergence of the spherical partial sums for radial functions
• Expansions for spherical functions on noncompact symmetric spaces
• Almost everywhere convergence of the inverse spherical transform on \(\text{SL}(2,\mathbb{R})\)
• On almost-everywhere convergence of inverse spherical transforms
• On convergence and growth of partial sums of Fourier series
• On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
• Spherical Functions on a Semisimple Lie Group, I
• Convergence and Divergence Almost Everywhere of Spherical Means for Radial Functions
• Divergent Jacobi Polynomial Series
• The Hilbert Transform with Exponential Weights
• A Quick Proof of Harish-Chandra's Plancherel Theorem for Spherical Functions on a Semisimple Lie Group
• Singular integrals with exponential weights
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