Regular Functions on the Space of Cayley Numbers
By Graziano Gentili, Daniele C. Struppa. 2010
94 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/06af81e7ffc3e7d813107339e072291589947252
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Caterina Stoppato
- Riccardo Ghiloni
- A. Perotti
- Daniele C. Struppa
- Graziano Gentili
- Fabrizio Colombo
- Irene Sabadini
- Fabio Vlacci
In Geometry and Topology
- Caterina Stoppato
- Riccardo Ghiloni
- A. Perotti
- Graziano Gentili
- Daniele C. Struppa
- Fabio Vlacci
- Valter Moretti
- Irene Sabadini
Citations in the corpus
- Global differential equations for slice regular functions (2014, methodology): “It was introduced firstly for functions of one quaternionic variable by Gentili and Struppa in [4], [5], and then extended to octonionic variable in [6].”
- Continuous slice functional calculus in quaternionic Hilbert spaces (2012, background): “Continuous slice functional calculus for normal operators 59 References 69”
- The fundamental theorem of algebra for Hamilton and Cayley numbers (2008, methodology): “If K = O, a similar argument based upon the splitting lemma and the Identity Principle proved in [7] completes the proof.”
- The algebra of slice functions (2015, background): “At the end of the section, we focus on slice regular functions, generalizing the nice properties of the zeros known for slice regular functions over the quaternions (see [10, Chapter 3] and references therein) and the octonions (see [14, 17]), as well as for slice monogenic functions (see [6, §2.”