Titlebook: Analytic D-Modules and Applications; Jan-Erik Bj?rk Book 1993 Springer Science+Business Media Dordrecht 1993 Hypergeometric function.calcu

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Regular holonomic ,-modules,ular holonomic if its formal solution complex is equal to its analytic solution complex at every point, i.e. if . for every .. ∈ Supp(.). The class of regular holonomic complexes is denoted by D.. (..). A holonomic module is regular holonomic if its single degree complex is regular holonomic. The cl

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Distributions and regular holonomic systems,tion 2 as a preparation to section 3. There we prove that every regular holonomic ..-module on a complex manifold is locally a cyclic module generated by a distribution on the underlying real manifold. The main result is Theorem 7.3.5 which gives an exact functor from RH(..) into the category of reg

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Microdifferential operators,n of .. is presented in the first section. The sheaf of rings .. is coherent and the stalks are regular Auslander rings with global homological dimension equal to ... Let .: .*(.) →. be the projection. Then .... is a subring of ... If . ∈ coh(..) there exists the ....A basic result is the equality S

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ges) applicable to them. The closure property is shown to be preserved in a natural way by the results of operations possessing the same characteristics as the operands in a query. It is shown that every class possesses the properties of an operand by defining a set of objects and deriving a set of