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math.FA2015★ 2 cited
The functional calculus based on the -spectrum for quaternionic operators and for -tuples of noncommuting operators
D. Alpay, F. Colombo, T. Qian +1
In this paper we extend the functional calculus to quaternionic operators and to -tuples of noncommuting operators using the theory of slice hyperholomorphic function…
math.FA2015
Beurling-Lax type theorems in the complex and quaternionic setting: the half-space case
Daniel Alpay, Irene Sabadini
We give a generalization of the Beurling-Lax theorem both in the complex and quaternionic settings. We consider in the first case functions meromorphic in the right complex half-pl…