Abstract
Abstract We establish an invariant local trace formula for the tangent space of some symmetric spaces over a non-archimedean local field of characteristic zero. These symmetric spaces are studied in Guo–Jacquet trace formulae, and our methods are inspired by works of Waldspurger and Arthur. Some other results are given during the proof including a noninvariant local trace formula, Howe’s finiteness for weighted orbital integrals, and the representability of the Fourier transform of weighted orbital integrals. These local results are preparations for the comparison of regular semi-simple terms, which are weighted orbital integrals, appearing in an infinitesimal variant of Guo–Jacquet trace formulae.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
