Constructs the ρ-Fourier transform on L²(G(F)) and the ρ-Schwartz space S_ρ(G(F)) for reductive groups over local fields, proving a large portion of the Braverman-Kazhdan-Ngô conjecture via spectral methods.
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The $\rho$-Fourier transform
Constructs the ρ-Fourier transform on L²(G(F)) and the ρ-Schwartz space S_ρ(G(F)) for reductive groups over local fields, proving a large portion of the Braverman-Kazhdan-Ngô conjecture via spectral methods.