Fourier-laplace transform of irreducible regular differential systems on the Riemann sphere

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Abstract

It is shown that the Fourier-Laplace transform of an irreducible regular differential system on the Riemann sphere underlies a polarizable regular twistor D-module if one considers only the part at finite distance. The associated holomorphic bundle defined away from the origin of the complex plane is therefore equipped with a natural harmonic metric having a tame behaviour near the origin.

Original languageEnglish
Pages (from-to)1165-1180
Number of pages16
JournalRussian Mathematical Surveys
Volume59
Issue number6
DOIs
Publication statusPublished - 1 Jan 2004

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