Huajie Li
Published 2024-10-31Version 1
In an infinitesimal variant of Guo-Jacquet trace formulae, the regular semi-simple terms are expressed as noninvariant weighted orbital integrals on two global infinitesimal symmetric spaces. We prove some relations between the Fourier transforms of invariant weighted orbital integrals on the corresponding local infinitesimal symmetric spaces. These relations should be useful in the noninvariant comparison of the infinitesimal variant of Guo-Jacquet trace formulae.
Fourier transforms related to a root system of rank 1
Fourier transforms of orbital integrals on the Lie algebra of $\operatorname{SL}_2$
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