Abstract
This chapter contains two main topics: the theory of slice hyperholomorphic functions and the S-functional calculus for bounded quaternionic operators. We limit ourselves to recalling the results we need in this book. For the proofs of the main theorems, we refer the reader to [57], which currently contains the completest version of quaternionic spectral theory.
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Colombo, F., Gantner, J. (2019). Preliminary results. In: Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes. Operator Theory: Advances and Applications, vol 274. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-16409-6_2
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DOI: https://doi.org/10.1007/978-3-030-16409-6_2
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-16408-9
Online ISBN: 978-3-030-16409-6
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