Minimal and next-to-minimal automorphic functions on split simply-laced groups are uniquely determined by, and explicitly reconstructible from, their Whittaker coefficients.
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Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups
Minimal and next-to-minimal automorphic functions on split simply-laced groups are uniquely determined by, and explicitly reconstructible from, their Whittaker coefficients.