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- Title
Monogenic plane waves and the W-functional calculus.
- Authors
Colombo, Fabrizio; Lávička, Roman; Sabadini, Irene; Souček, Vladimír
- 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.
- Subjects
PLANE wavefronts; MONOGENIC functions; FUNCTIONAL calculus; OPERATOR theory; INTEGRAL transforms
- Publication
Mathematical Methods in the Applied Sciences, 2016, Vol 39, Issue 3, p412
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3491