Titre :

Functions and operators in real, quaternionic, and cliffordian contexts

Auteur(s) :

Vasilescu, Florian-Horia [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Complex Analysis and Operator Theory

Éditeur :

Springer Verlag

Date de publication :

2022-11-05

ISSN :

1661-8254

Mot(s)-clé(s) en anglais :

Real
Hamilton and Clifford algebras
Spectral and Cauchy transformations
Clifford and quaternionic operators
Analytic functional calculus.

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

This is an expository paper mainly based on certain works due to theauthor himself. After some introductory sections, we discuss the transformation of vector valued stem functions, defined on sets in the complex plane into ...
Lire la suite >This is an expository paper mainly based on certain works due to theauthor himself. After some introductory sections, we discuss the transformation of vector valued stem functions, defined on sets in the complex plane into quaternionic and Cliffordian valued function, using functional calculi, algebraically or derived via a Cauchy type kernel. Thenwe consider large families of quaternionic and Cliffordian linear operators, regarded as special classes of real linear operators, extended via acomplexification procedure, and thus having the spectrum in the complexplane, which permits the construction of functional calculi with adequateanalytic functions, in a classical manner, recaptured by restriction.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL