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We show that the Fourier-Laplace transform of a regular holonomic module overthe Weyl algebra of one variable, which generically underlies a variation ofpolarized Hodge structure, underlies itself an integrable variation ofpolarized twistor structure.Comment: 36 pages. AMSLatex Revised version, few modification

Fourier-Laplace transform of a variation of polarized complex Hodge structure