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math.RT2026
Kloosterman sheaves and Bessel functions for generic principal series of finite groups
Robert Cass, Miao Pam Gu, Elad Zelingher
Let be a quasi-split reductive group over a finite field and let be the Langlands dual group. Assuming the derived subgroup of is almost simple, we use techniques from…
math.NT2026
Plancherel and Poisson summation formulae for a family of affine -bundles
Jayce R. Getz, Miao Pam Gu, Chun-Hsien Hsu
We prove a Plancherel formula for a family of affine -bundles. As an application, we construct Fourier transforms and asymptotic Schwartz spaces for the family. We then prove th…