Whittaker-Shintani functions for Fourier-Jacobi models on unitary groups
Abstract
We state and prove a formula for the Whittaker-Shintani functions associated to Fourier-Jacobi models for p-adic unitary groups and general linear groups. These generalized spherical functions play a fundamental role in the proof of the Gan-Gross-Prasad conjecture for Fourier-Jacobi models. As an application we prove the unramified Ichino-Ikeda conjecture.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2024
- DOI:
- 10.48550/arXiv.2410.01991
- arXiv:
- arXiv:2410.01991
- Bibcode:
- 2024arXiv241001991B
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Number Theory