Fourier transform and endoscopic transfer on real Lie algebras
Cheng Chen, Zhilin Luo
TL;DR
This paper proves that the endoscopic transfer on real Lie algebras commutes with the Fourier transform, using purely local methods, which advances understanding in harmonic analysis on Lie algebras.
Contribution
It establishes the commutation of endoscopic transfer with Fourier transform on real Lie algebras through a novel local approach.
Findings
Endoscopic transfer commutes with Fourier transform on real Lie algebras.
Uses purely local methods for the proof.
Enhances harmonic analysis techniques on Lie algebras.
Abstract
We prove that the endoscopic transfer on real Lie algebras commutes with the Fourier transform, using methods that are purely local.
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