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arXiv · 1608.02594

On domains of noncommutative rational functions

Jurij Volčič
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Abstract

In this paper the stable extended domain of a noncommutative rational function is introduced and it is shown that it can be completely described by a monic linear pencil from the minimal realization of the function. This result amends the singularities theorem of Kalyuzhnyi-Verbovetskyi and Vinnikov. Furthermore, for noncommutative rational functions which are regular at a scalar point it is proved that their domains and stable extended domains coincide.

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Jurij Volčič. 2016-08-08. On domains of noncommutative rational functions. https://arxiv.org/abs/1608.02594

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