The authors construct Fourier isomorphisms between function spaces on p-divisible rigid analytic groups and analytic functions on dual Z_p-local systems, over arbitrary small v-stacks, and apply them to build global Eisenstein measures.
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$p$-adic Fourier theory in families
The authors construct Fourier isomorphisms between function spaces on p-divisible rigid analytic groups and analytic functions on dual Z_p-local systems, over arbitrary small v-stacks, and apply them to build global Eisenstein measures.