Holomorphic functions in the new mixed-Fourier-norm spaces on G×Y are exactly those whose Fourier transforms factor as e^{-2π⟨ξ,y⟩} times a distribution on Ĝ.
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Mixed-Fourier-norm spaces and holomorphic functions
Holomorphic functions in the new mixed-Fourier-norm spaces on G×Y are exactly those whose Fourier transforms factor as e^{-2π⟨ξ,y⟩} times a distribution on Ĝ.