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Project-declaredLean 4.32.0

Expect i Inf ker eq expect ite

expect_iInf_ker_eq_expect_ite

Plain-language statement

Let VV be the intersection of the kernels of a set of additive characters Δ\Delta. Averaging ff over VV equals the average of f^(ψ)\widehat f(\psi) over all characters, with the Fourier coefficient retained precisely when ψ\psi lies in the additive subgroup generated by Δ\Delta.

additive combinatoricsarithmetic progressionsFourier analysis

Source project: Arithmetic Progressions Almost Periodicity

Person-level attribution pending.

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