The C-property for slice regular functions and applications to the Bergman space
By Fabrizio Colombo, J. González‐Cervantes, Irene Sabadini. 2013
55 citations recorded by the source corpus.
This article has a twofold purpose: on one hand, we deepen the study of slice regular functions by studying their behaviour with respect to the so-called C-property and anti-C-property. We show that, for any fixed basis of the algebra of quaternions ℍ any slice regular function decomposes into the sum of four slice regular components, each of them satisfying the C-property. Then, we will use these results to show a reproducing property of the Bergman kernels of the second kind.
Subfields: Algebra and Number Theory, Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/c337e3fb886622e44a73a4d6376dd3adb6c3ee91
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In Algebra and Number Theory
- Irene Sabadini
- Fabrizio Colombo
- Daniele C. Struppa
- Caterina Stoppato
- Graziano Gentili
- Riccardo Ghiloni
- A. Perotti
- Daniel Alpay
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].”