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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
Stability of the smooth Casselman-Jacquet functor
Kei Yuen Chan, Kaidi Wu, Jun Yu +1
We establish and prove several results for the smooth Casselman-Jacquet submodule and quotient functors for real reductive groups. In addition to exactness, surjectivity, transitiv…