Quaternionic Regularity
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Quaternionic Regularity via AnalyticFunctional Calculus
Quaternionic Regularity
Quaternionic Regularity
Auteur(s) :
Titre de la revue :
Integral Equations and Operator Theory
Éditeur :
Springer Verlag
Date de publication :
2020-03-21
ISSN :
0378-620X
Mot(s)-clé(s) en anglais :
Spectrum of a quaternion
Quaternionic Cauchy transform
Quaternionic regularity
Stem functions.
Quaternionic Cauchy transform
Quaternionic regularity
Stem functions.
Discipline(s) HAL :
Mathématiques [math]
Résumé en anglais : [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 ...
Lire la suite >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.Lire moins >
Lire la suite >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.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
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