Almost everywhere convergence of the inverse spherical transform on \(\text{SL}(2,\mathbb{R})\)

DOI10.1007/BF02559528zbMath0821.43002MaRDI QIDQ1329664

Elena Prestini, Christopher Meaney

Publication date: 19 September 1995

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

spherical functionsHaar measureCartan decompositionalmost everywhere convergenceinverse spherical transforms

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (3)

Almost everywhere convergence of inverse spherical transforms on noncompact symmetric spaces ⋮ Singular integrals with exponential weights ⋮ Bochner-Riesz means on symmetric spaces

Cites Work

• Unnamed Item
• Almost everywhere convergence of the spherical partial sums for radial functions
• The representation theory of SL(2,R), a non-infinitesimal approach
• Expansions for spherical functions on noncompact symmetric spaces
• On convergence and growth of partial sums of Fourier series
• Convergence and Divergence Almost Everywhere of Spherical Means for Radial Functions
• Some Transplantation Theorems for the Generalized Mehler Transform and Related Asymptotic Expansions

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