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arXiv · 2410.01991

Whittaker-Shintani functions for Fourier-Jacobi models on unitary groups

Paul Boisseau
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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.

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BibTeXRIS

Paul Boisseau. 2024-10-02. Whittaker-Shintani functions for Fourier-Jacobi models on unitary groups. https://arxiv.org/abs/2410.01991

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