eprintid: 28414
rev_number: 13
eprint_status: archive
userid: 3588
dir: disk0/00/02/84/14
datestamp: 2019-02-26 09:40:48
lastmod: 2019-02-26 09:49:30
status_changed: 2019-02-26 09:40:48
type: article
metadata_visibility: show
title: Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication
language: english
abstract: We consider monogenic functions taking values in a topological vector space being an
expansion of a certain infinite-dimensional commutative Banach algebra associated with
the three-dimensional Laplace equation. We establish also integral theorems for monogenic
functions taking values in the mentioned algebra and the mentioned topological vector
space.
keywords: Laplace equation, spatial potentials, harmonic algebra, topological
vector space, differentiable in the sense of Gˆateaux function, monogenic function, Cauchy-
Riemann conditions
creators_name: Плакса, С. А.
creators_name: Шпаківський, В. С.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2018
date_type: published
publication: Recherches sur les d´eformations
volume: 2
number: LXVIII
pagerange: 25-36
refereed: TRUE
citation:   Плакса, С. А., Шпаківський, В. С.  (2018) Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication.  Recherches sur les d´eformations, 2 (LXVIII).  с. 25-36.      
document_url: http://eprints.zu.edu.ua/28414/1/Bulletin-68-2%20%281%29.pdf