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arxiv: 1501.02079 · v2 · pith:T3YH2HQGnew · submitted 2015-01-09 · 🧮 math.CV

Quaternionic Hankel operators and approximation by slice regular functions

classification 🧮 math.CV
keywords slicefunctionshankelinftyoperatorsquaternionicregularapproximation
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In this paper we study Hankel operators in the quaternionic setting. In particular we prove that they can be exploited to measure the $L^{\infty}$ distance of a slice $L^{\infty}$ function from the space of bounded slice regular functions.

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