Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra

Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra

We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable. We prove that the mentioned monogenic functions have the Gateaux derivatives of all orders. For monogenic funct...

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Bibliographic Details
Main Authors: Plaksa S. A., Pukhtaievych R. P.
Format: Article
Language:English
Published: Sciendo 2014-12-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
commutative banach algebra
monogenic function
laplace equation
cauchy integral theorem
cauchy integral formula
morera theorem
Online Access:https://doi.org/10.2478/auom-2014-0018

Internet

https://doi.org/10.2478/auom-2014-0018

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