Abstract
In this book we propose a novel approach to two important problems in the theory of functional calculus: the construction of a general functional calculus for not necessarily commuting n-tuples of operators, and the construction of a functional calculus for quaternionic operators. The approach we suggest is made possible by a series of recent advances in Clifford analysis, and in the theory of quaternionvalued functions (see, e.g., [26] and [49]).
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© 2011 Springer Basel AG
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Colombo, F., Sabadini, I., Struppa, D.C. (2011). Introduction. In: Noncommutative Functional Calculus. Progress in Mathematics, vol 289. Springer, Basel. https://doi.org/10.1007/978-3-0348-0110-2_1
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DOI: https://doi.org/10.1007/978-3-0348-0110-2_1
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Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0109-6
Online ISBN: 978-3-0348-0110-2
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