On the formulations of the quaternionic functional calculus
By Fabrizio Colombo, Irene Sabadini. 2010
71 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/ce33f22aad65f7b0679264af64040247ce7f3a22
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In Algebra and Number Theory
- Fabrizio Colombo
- Irene Sabadini
- Daniele C. Struppa
- Daniel Alpay
- Caterina Stoppato
- Graziano Gentili
- Riccardo Ghiloni
- A. Perotti
In Applied Mathematics
- Irene Sabadini
- Fabrizio Colombo
- Daniele C. Struppa
- Daniel Alpay
- Caterina Stoppato
- Graziano Gentili
- Riccardo Ghiloni
- A. Perotti
In Computational Theory and Mathematics
Citations in the corpus
- A New Resolvent Equation for the $$S$$S-Functional Calculus (2013, unknown): “The possible formulations of the quaternionic functional calculus has been carried out in [13].”
- Schur Functions and Their Realizations in the Slice Hyperholomorphic Setting (2011, background): “For some results on the quaternionic functional calculus we refer the reader to [34, 37, 39, 41].”
- The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum (2014, unknown): “To show the deep difference between complex spectral theory and the quaternionic spectral theory, we recall the quaternionic version of the Riesz-Dunford functional calculus, which suggests the notion of S-spectrum, see [15, 16].”
- Entire slice regular functions (2015, background): “The S-functional calculus, see [9, 45, 48, 49, 59, 60, 61, 71], is the analogue of the Riesz-Dunford functional calculus in the quaternionic setting.”