6 citations · 15 across the 12 of their papers we have counts for
5 papers · 1 filter
Fourier transform and endoscopic transfer on real Lie algebras
Cheng Chen, Zhilin Luo
We prove that the endoscopic transfer on real Lie algebras exists and commutes with the Fourier transform, using methods that are purely local.
Certain Fourier Operators and their Associated Poisson Summation Formulae on
Dihua Jiang, Zhilin Luo
In this paper, we explore a possibility to utilize harmonic analysis on $\GL_1$ to understand Langlands automorphic -functions in general, as a vast generalization of the pionee…
Certain Fourier Operators on and Local Langlands Gamma functions
Dihua Jiang, Zhilin Luo
For a split reductive group over a number field , let be an -dimensional complex representation of its complex dual group . For any irreducible cu…
A Local Trace Formula for the Local Gan-Gross-Prasad Conjecture for Special Orthogonal Groups
Zhilin Luo
Through combining the work of Jean-Loup Waldspurger (\cite{waldspurger10} and \cite{waldspurgertemperedggp}) and Raphaël Beuzart-Plessis (\cite{beuzart2015local}), we give a proof…
On the Stable Transfer for Lifting of
Daniel Johnstone, Zhilin Luo
Following the paradigm of \cite{MR3117742}, we are going to explore the stable transfer factors for lifting from to over an…