The Fock Space in the Slice Hyperholomorphic Setting
By Daniel Alpay, Fabrizio Colombo, Irene Sabadini, Guy Salomon. 2014
68 citations recorded by the source corpus.
In this paper we introduce and study some basic properties of the Fock space (also known as Segal–Bargmann space) in the slice hyperholomorphic setting. We discuss both the case of slice regular functions over quaternions and the case of slice monogenic functions with values in a Clifford algebra. In the specific setting of quaternions, we also introduce the full Fock space. This paper can be seen as the beginning of the study of infinitedimensional analysis in the quaternionic setting.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/ca9542c35afc9c3d999828b5eb510a8acc8b24e2
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In Applied Mathematics
- Irene Sabadini
- Fabrizio Colombo
- Daniele C. Struppa
- Caterina Stoppato
- Graziano Gentili
- Riccardo Ghiloni
- A. Perotti
- Daniel Alpay
Citations in the corpus
- Entire slice regular functions (2015, background): “The Bergman spaces can be found in [50, 52, 54] and the Fock space in [25].”