Automorphic-twisted summation formulae for pairs of quadratic spaces

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2023

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Conjectures of Braverman-Kazhdan, L. Lafforgue, Ngô and Sakellaridis imply that all affine spherical varieties admit generalized Poisson summation formula. In this dissertation we establish a generalized Poisson summation formula for certain spaces of test functions on the zero locus of a quadratic form. The functions are built from the Whittaker coefficients of automorphic representations on GL_n. We also give an expression of the local factors where all the data is unramified.

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Gu, Miao (Pam) (2023). Automorphic-twisted summation formulae for pairs of quadratic spaces. Dissertation, Duke University. Retrieved from https://hdl.handle.net/10161/27645.

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