A NEW PROOF OF THE JACQUET-RALLIS FUNDAMENTAL LEMMA

We give a new proof of the so-called Lie algebra version of the Jacquet-Rallis fundamental lemma for local non-Archimedean fields of characteristic 0. This proof is local and based on a previous result of Zhang on the compatibility of smooth transfer with a (partial) Fourier transform.

Automated summary

We present a new proof of the Lie algebra version of the Jacquet-Rallis fundamental lemma for local non-Archimedean fields of characteristic 0. This proof is based on a previous result by Zhang regarding the compatibility of smooth transfer with a (partial) Fourier transform.