Singular expansion of the wave kernel and harmonic sums on Riemannian symmetric spaces of the non-compact type

Singular expansion of the wave kernel and harmonic sums on Riemannian symmetric spaces of the non-compact type

The Mellin transform assigned to the convolution Poisson kernel on higher rank Riemannian symmetric spaces of the non-compact type is equal to the wave kernel. This makes it possible to determine the poles and to deduce the singular expansion of this kernel by using the zeta function techniques on c...

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Bibliographic Details
Main Author: Ali Hassani
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
riemannian symmetric spaces
poisson kernel
wave kernel
mellin transform
singular expansion
asymptotic expansion
harmonic sums
zeta function
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025219
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https://www.aimspress.com/article/doi/10.3934/math.2025219

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