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Lookup NU author(s): Dr David Kimsey
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© Springer Nature Switzerland AG 2018. The Fueter mapping theorem in integral form introduced in [86], see Chapter 2.2, provides an integral transform that turns slice hyperholomorphic functions into Fueter regular ones. By formally replacing the scalar variable in this integral transform by an operator T, we obtain a functional calculus for Fueter regular functions that is based on the theory of slice hyperholomorphic functions. The F-functional calculus was introduced and studied in the following papers [54, 78, 81, 86].
Author(s): Colombo F, Gantner J, Kimsey DP
Publication type: Book Chapter
Publication status: Published
Book Title: Spectral Theory on the S-Spectrum for Quaternionic Operators
Year: 2018
Volume: 270
Pages: 151-176
Online publication date: 05/01/2019
Acceptance date: 02/04/2018
Series Title: Operator Theory: Advances and Applications
Publisher: Birkhauser
Place Published: Cham
URL: https://doi.org/10.1007/978-3-030-03074-2_7
DOI: 10.1007/978-3-030-03074-2_7
Library holdings: Search Newcastle University Library for this item
ISBN: 9783030030735
