Articoli correlati a Analysis over Cayley-Dickson numbers and its applications:...

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

Ludkovsky, Sergey

 
9783843383264: Analysis over Cayley-Dickson numbers and its applications: Hypercomplex holomorphic functions, meromorphic functions, partial differential equations, operational calculus
Brossura
ISBN 10: 384338326X ISBN 13: 9783843383264
Casa editrice: LAP LAMBERT Academic Publishing, 2010

Sinossi

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.

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L'autore

LUDKOVSKY SERGEY VICTOR was born on the 08-th of January 1960 in Moscow, Russia, had graduated Department of Mathematics of the Moscow State University (M.V. Lomonosov), had received the Ph. Dr. degree in November 1987, Professor at Department of Applied Mathematics of the Moscow State Technical University MIREA.

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Editore
LAP LAMBERT Academic Publishing
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
384338326X
ISBN 13 
9783843383264
Rilegatura
Copertina flessibile
Numero di pagine
336
Contatto del produttore
non disponibile
Persona responsabile
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