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arXiv · 1403.3775

Formulations of the F-functional calculus and some consequences

Fabrizio Colombo·Jonathan Gantner
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Abstract

In this paper we introduce the two possible formulations of the F-functional calculus which are based on the Fueter-Sce mapping theorem in integral form and we introduce the pseudo F-resolvent equation. In the case of dimension 3 we prove the F-resolvent equation and we study the analogue of the Riesz projectors associated with this calculus. The case of dimension 3 is also useful to study the quaternionic version of the F-functional calculus.

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Fabrizio Colombo, Jonathan Gantner. 2014-03-15. Formulations of the F-functional calculus and some consequences. https://arxiv.org/abs/1403.3775

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