Meromorphic extensions of regular holonomic distributions

In this paper we consider distributions of the form 1/P and dy/P(x,y), whereP is a polynomial. Using results by Kashiwara and Kawai we give fairly accessible proofs that these expressions can be defined as regular holonomic distributions by utilising a meromorphic parameter. We also discuss distributions of the form /P and their direct image , when one knows that is a regular holonomic distribution. All these distributions are relevant to the study of renormalised Feynman integrals.     

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Das Grenzflächenverhalten von Carboxymethylcellulose an Baumwolle

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