This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice reg...
Table des matières
1 Introduction.- 2 Slice monogenic functions.- 3 Functional calculus for n-tuples of operators.- 4 Quaternionic Functional Calculus.- 5 Appendix: The Riesz-Dunf...
Achetez cet ebook et obtenez-en 1 de plus GRATUITEMENT !
Langue Anglais ● Format PDF ● Pages 222 ● ISBN 9783034801102 ● Taille du fichier 2.8 MB ● Maison d’édition Springer Basel ● Lieu Basel ● Pays CH ● Publié 2011 ● Téléchargeable 24 mois ● Devise EUR ● ID 2152490 ● Protection contre la copie DRM sociale