Monogenic plane waves and the W‐functional calculus |
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| Authors: | Fabrizio Colombo Roman Lávička Irene Sabadini Vladimír Souček |
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| Affiliation: | 1. Politecnico di Milano, Dipartimento di Matematica, 20133 Milano, Italy;2. Faculty of Mathematics and Physics, Charles University in Prague, Praha, Czech Republic |
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| Abstract: | In this paper, we introduce some integral transforms that map slice monogenic functions to monogenic functions. We then show that one of these integral transforms, which is based on the Cauchy formula of slice monogenic functions, is useful to define a functional calculus depending on a parameter for n‐tuples of bounded operators. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | monogenic functions slice monogenic functions plane waves W‐functional calculus |
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