In this paper we introduce the two possible formulations of the-functional calculus that are based on the Fueter-Sce mapping theorem in integral form and we introduce the pseudo-resolvent equation. In the case of dimension 3 we prove the-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-functional calculus.
Formulations of the F-functional calculus and some consequences
COLOMBO, FABRIZIO;
2016-01-01
Abstract
In this paper we introduce the two possible formulations of the-functional calculus that are based on the Fueter-Sce mapping theorem in integral form and we introduce the pseudo-resolvent equation. In the case of dimension 3 we prove the-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-functional calculus.File in questo prodotto:
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