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arxiv: math/0407030 · v1 · submitted 2004-07-02 · 🧮 math.AP · math.GR

b-functions and integrable solutions of holonomic D-modules

classification 🧮 math.AP math.GR
keywords holonomicintegrabletheoremalgebraicassociatedb-functionsd-moduled-modules
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A famous theorem of Harish-Chandra shows that all invariant eigendistributions on a semisimple Lie group are locally integrable functions. We give here an algebraic version of this theorem in terms of polynomials associated with a holonomic D-module.

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