3 papers
math.RT2026
Fourier positivity for spherical functions I: split tori and spherical principal series
Michael Björklund, Dongwen Liu, Jun Yu +1
We prove Fourier positivity for spherical functions on a semisimple linear algebraic group over a local field restricted to its split tori for unitary principal series para…
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 cha…
math.RT2025
Arithmetic Wavefront Sets and Generic -packets
Dihua Jiang, Dongwen Liu, Lei Zhang
Let be a classical group defined over a local field of characteristic zero. Let be an irreducible admissible representation of , which is of Casselman-Walla…