• Corpus ID: 119253712

A Noncommutative Mikusinski Calculus

@article{Rosenkranz2012ANM,
  title={A Noncommutative Mikusinski Calculus},
  author={Markus Rosenkranz and Anja Korporal},
  journal={arXiv: Rings and Algebras},
  year={2012}
}
We set up a left ring of fractions over a certain ring of boundary problems for linear ordinary differential equations. The fraction ring acts naturally on a new module of generalized functions. The latter includes an isomorphic copy of the differential algebra underlying the given ring of boundary problems. Our methodology employs noncommutative localization in the theory of integro-differential algebras and operators. The resulting structure allows to build a symbolic calculus in the style of… 
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