Transfer of Orbital Integrals
DOI:
https://doi.org/10.33003/fjs-2026-1012-4840Keywords:
Stable Orbital Integrals, Real Reductive Lie Groups, Quasi-Split Groups, Inner Forms, Endoscopic Groups, Schwartz SpaceAbstract
Consider real reductive Lie groups G and G' such G and G' are inner forms with the same quasi-split group. Langlands has shown that there is a correspondence from the set of regular points in g to that of G'. The main theorem of this paper permits the transfer of stable orbital integrals from G to G', and as such a correspondence between the functions of the Schwartz space C(G) and the functions of the Schwartz space C(G') is established.
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Copyright (c) 2026 Rasheed Ibitowa, Unnanaowo Nyong Bassey
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