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The product formula for the spherical functions on symmetric spaces in the complex case.

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Publication:701264
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DOI10.2140/pjm.2002.204.377zbMath1049.43005OpenAlexW2002111189MaRDI QIDQ701264

Piotr Graczyk, Patrice Sawyer

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.2140/pjm.2002.204.377


zbMATH Keywords

symmetric spacespherical functionsemisimple noncompact Lie group


Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Spherical harmonics (33C55)


Related Items (5)

A positive radial product formula for the Dunkl kernel ⋮ Horn's problem and Fourier analysis ⋮ On the kernel of the product formula on symmetric spaces ⋮ \(\text{SU}(d)\)-biinvariant random walks on \(\text{SL}(d,\mathbb C)\) and their Euclidean counterparts ⋮ Convolution of orbital measures on symmetric spaces: A survey




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