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math.RT2026
Arithmetic Wavefront Set and Microlocal Structure of Harish-Chandra Character
Dihua Jiang, Dongwen Liu, Zhikang Luo +2
In this paper, we establish in Theorem 1.2 the reciprocity of wavefront sets for irreducible admissible representations of classical groups over any local field of char…
math.RT2023
Arithmetic Branching Law and generic -packets
Cheng Chen, Dihua Jiang, Dongwen Liu +1
Let be a classical group defined over a local field of characteristic zero. For any irreducible admissible representation of , which is of Casselman-Wallach type…
math.RT2021★ 2 cited
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…