Quaternionic Regularity
Document type :
Article dans une revue scientifique: Article original
Permalink :
Title :
Quaternionic Regularity via AnalyticFunctional Calculus
Quaternionic Regularity
Quaternionic Regularity
Author(s) :
Journal title :
Integral Equations and Operator Theory
Publisher :
Springer Verlag
Publication date :
2020-03-21
ISSN :
0378-620X
English keyword(s) :
Spectrum of a quaternion
Quaternionic Cauchy transform
Quaternionic regularity
Stem functions.
Quaternionic Cauchy transform
Quaternionic regularity
Stem functions.
HAL domain(s) :
Mathématiques [math]
English abstract : [en]
Let M be the complexification of the quaternionic algebra H.For each function F : U → M, where U ⊂ C, we define a transformationF _H : U_H → M, where U_H ⊂ H is associated to U , via an elementaryfunctional calculus, using ...
Show more >Let M be the complexification of the quaternionic algebra H.For each function F : U → M, where U ⊂ C, we define a transformationF _H : U_H → M, where U_H ⊂ H is associated to U , via an elementaryfunctional calculus, using the spectra of quaternions, and characterizethose transformations F_ H , which are actually H-valued. In particular, weshow that the slice hyperholomorphy can be characterized via a Cauchytype transform, acting on the space of analytic M-valued stem functions.Show less >
Show more >Let M be the complexification of the quaternionic algebra H.For each function F : U → M, where U ⊂ C, we define a transformationF _H : U_H → M, where U_H ⊂ H is associated to U , via an elementaryfunctional calculus, using the spectra of quaternions, and characterizethose transformations F_ H , which are actually H-valued. In particular, weshow that the slice hyperholomorphy can be characterized via a Cauchytype transform, acting on the space of analytic M-valued stem functions.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
Source :
Submission date :
2025-01-24T13:56:37Z