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math.SP2015★ 2 cited
Functions of the infinitesimal generator of a strongly continuous quaternionic group
Daniel Alpay, Fabrizio Colombo, Jonathan Gantner +1
The analogue of the Riesz-Dunford functional calculus has been introduced and studied recently as well as the theory of semigroups and groups of linear quaternionic operators. In t…
math.CV2015
Wiener algebra for the quaternions
Daniel Alpay, Fabrizio Colombo, David P. Kimsey +1
We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener-Lévy type theorem and a factoriz…