13 citations · 27 across the 19 of their papers we have counts for
22 papers
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…
The -Fourier transform
Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +4
Let be a reductive group over a local field and let be a representation of its -group satisfying suitable assumptions. Braver…
Modulation groups
Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +6
Conjectures of Braverman and Kazhdan, Ngô and Sakellaridis have motivated the development of Schwartz spaces for certain spherical varieties. We prove that under suitable assumptio…
Triple product -functions and the Ramanujan conjecture
Jayce R. Getz, Heekyoung Hahn, HaoYun Yao
We prove that the Ramanujan conjecture is true under the assumption that the expected analytic properties of triple product -functions hold. Further, we explain how these analyt…
On triple product -functions and the fiber bundle method
Jayce R. Getz, Miao Pam Gu, Chun-Hsien Hsu +1
We introduce multi-variable zeta integrals which unfold to Euler products representing the triple product -function times a product of -functions with known analytic properti…
A nonabelian circle method
Nuno Arala, Jayce R. Getz, Jiaqi Hou +3
We count integral quaternion zeros of , giving an asymptotic when , and a likely near-optimal bound when . To do so, we introduce a new, non…