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math.FA2014★ 1 cited
Formulations of the F-functional calculus and some consequences
Fabrizio Colombo, Jonathan Gantner
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…
math.FA2014
An extension of Herglotz's theorem to the quaternions
D. Alpay, F. Colombo, D. P. Kimsey +1
A classical theorem of Herglotz states that a function from into is positive definite if and only there exists a $\mathbb C^{s\t…