On almost-everywhere convergence of inverse spherical transforms

DOI10.2140/PJM.1995.170.203zbMath0857.43006OpenAlexW1578763955MaRDI QIDQ1919866

Elena Prestini, Christopher Meaney

Publication date: 3 March 1997

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1995.170.203

zbMATH Keywords

Fourier transformsHankel transformPlancherel formulaLie algebrasemisimple Lie groupIwasawa decompositionspherical functionspherical transformRiemannian symmetric space

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Analysis on real and complex Lie groups (22E30) Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80) Convergence of Fourier series and of inverse transforms (43A50)

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Almost everywhere convergence of inverse spherical transforms on noncompact symmetric spaces

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