The Cauchy transform in the slice hyperholomorphic setting and related topics
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.12.007
Abstract: Abstract In this paper we study the additive splitting associated to the quaternionic Cauchy transform defined by the Cauchy formula of slice hyperholomorphic functions. Moreover, we introduce and study the analogue of the fundamental solution… read more here.
Keywords: slice; setting related; hyperholomorphic setting; slice hyperholomorphic ... See more keywords
Berezin transform of slice functions
Sign Up to like & getrecommendations! Published in 2017 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2016.1250398
Abstract: In a recent paper, we introduced the Berezin transform of quaternionic linear operators and we obtained some properties in the setting of weighted Bergman spaces of slice hyperholomorphic functions. Here, we define the Berezin transform… read more here.
Keywords: berezin transform; transform slice; slice functions;