Abstract
Unless otherwise specified, F will denote a local field of characteristic zero. We also fix a nontrivial continuous unitary character \(\psi : F \to {\mathbb {C}}^\times \) and use the self-dual Haar measure on F; note that ψ−1 leads to the same measure. The integration of densities on F-analytic manifolds is thus normalized.
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Li, WW. (2018). Prehomogeneous Vector Spaces. In: Zeta Integrals, Schwartz Spaces and Local Functional Equations. Lecture Notes in Mathematics, vol 2228. Springer, Cham. https://doi.org/10.1007/978-3-030-01288-5_6
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DOI: https://doi.org/10.1007/978-3-030-01288-5_6
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