Titlebook: Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms; CIRM Jean-Morlet Cha Volker Heiermann,Dipendra Pr

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Towards Generalized Prehomogeneous Zeta Integrals,usa et al. We show their convergence in some shifted cone, and prove their meromorphic continuation via the machinery of .-function together with V. Ginzburg’s results on admissible .-modules. This provides some evidence for a broader theory of zeta integrals associated to affine spherical embeddings.

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