Analysis over Cayley-Dickson numbers and its applications : Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus

Sergey Ludkovsky

ISBN 10: 384338326X / ISBN 13: 9783843383264

Edité par LAP LAMBERT Academic Publishing, 2010

A propos de cet article

Zustand: Hervorragend | Seiten: 336 | Sprache: Englisch | Produktart: Bücher.

N° de réf. du vendeur 10025510/1

Détails bibliographiques

• Titre: Analysis over Cayley-Dickson numbers and its applications : Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus
• Éditeur: LAP LAMBERT Academic Publishing
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 384338326X
• ISBN à 13 chiffres: 9783843383264
• Reliure: Couverture souple
• État de l'article: Hervorragend
• Catalogues du vendeur:
  • Bücher

A propos de ce titre

Synopsis

The book is devoted to non-commutative analysis over Cayley-Dickson algebras and its applications to partial differential equations. In the first chapter super-differentiability of functions is described on regions of the real Cayley-Dickson algebra. The non-commutative analog of the Cauchy integral as well as criteria for functions of a Cayley-Dickson variable to be analytic are exposed. Among the main results we have the Cayley- Dickson algebras analogs of Caychy's theorem, Hurtwitz', argument principle, Mittag-Leffler's, Rouche's and Weierstrass' theorems, etc. In the second chapter the theory of meromorphic functions of the Cayley-Dickson variables is presented. Their properties and methods of calculations of their residues and arguments are described. The third chapter exposes material about differential equations over the Cayley-Dickson algebras. In chapter IV the technique for integration of partial differential equations with variable piecewise continuous or generalized coefficients is written. The fifth chapter contains results on the non- commutative multidimensional Laplace transforms.