Le comportement à l'infini des fonctions de Bessel généralisées. II. (The behaviour at infinity of generalized Bessel functions. II)

DOI10.1016/0001-8708(87)90029-6zbMath0629.43009OpenAlexW2056923679MaRDI QIDQ1093836

Jean-Louis Clerc

Publication date: 1987

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(87)90029-6

zbMATH Keywords

Bessel functionszonal functionsCartan motion groupsFourier transform of measures

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Harmonic analysis and spherical functions (43A90)

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Cites Work

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• Le comportement à l'infini des fonctions de Bessel généralisées. I. (The behaviour at infinity of generalized Bessel functions.)
• A duality for symmetric spaces with applications to group representations. III: Tangent space analysis
• Spherical transforms on semisimple Lie groups
• On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
• A formula for the radial part of the Laplace-Beltrami operator
• Spherical Functions on a Semisimple Lie Group, I
• On the Number of Irreducible Representations of Degree ≤n of a Lie Group
• The Volume of a Region Defined by Polynomial Inequalities

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