Distributions and regular holonomic systems
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We refer to К X as Kashiwara’s conjugation functor. Reversing the roles between X and there exists the conjugation functor from . We prove that the compsed functor is the identity on RH(D X ).
In the final sections we use the conjugation functor to exhibit an inverse functor to the de Rham functor in the Riemann-Hilbert correspondence. The inverse functor is obtained from a temperate Hom-functor composed with the 6-complex. This leads to properties of regular holonomic modules which go beyond those in Chapter V. The main results occur at the end of section 9. The last section contains a discussion about D-module theory related to Hodge theory.
KeywordsComplex Manifold Left Ideal Direct Image Natural Morphism Real Manifold
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