Cauchy–Riemann Operators in Octonionic Analysis

Janne Kauhanen; Heikki Orelma

doi:10.1007/s00006-018-0826-2

Cauchy–Riemann Operators in Octonionic Analysis

Janne Kauhanen, Heikki Orelma

Tutkimustuotos: Artikkeli › Tieteellinen › vertaisarvioitu

31 Sitaatiot (Scopus)

72 Lataukset (Pure)

Abstrakti

In this paper we first recall the definition of the octonion algebra and its algebraic properties. We derive the so called e₄-calculus and using it we obtain the list of generalized Cauchy–Riemann systems for octonionic monogenic functions.

Alkuperäiskieli	Englanti
Artikkeli	1
Julkaisu	Advances in Applied Clifford Algebras
Vuosikerta	28
Numero	1
Varhainen verkossa julkaisun päivämäärä	tammik. 2018
DOI - pysyväislinkit	https://doi.org/10.1007/s00006-018-0826-2
Tila	Julkaistu - 2018
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Julkaisufoorumi-taso

Jufo-taso 1

!!ASJC Scopus subject areas

Applied Mathematics

Pääsy asiakirjaan

10.1007/s00006-018-0826-2

CauchyRiemannOperatorsAccepted author manuscript, 254 KB

http://urn.fi/URN:NBN:fi:tty-201908211996

Siteeraa tätä

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title = "Cauchy–Riemann Operators in Octonionic Analysis",

abstract = "In this paper we first recall the definition of the octonion algebra and its algebraic properties. We derive the so called e4-calculus and using it we obtain the list of generalized Cauchy–Riemann systems for octonionic monogenic functions.",

keywords = "Cauchy–Riemann operators, Dirac operators, Monogenic functions, Octonions",

author = "Janne Kauhanen and Heikki Orelma",

year = "2018",

doi = "10.1007/s00006-018-0826-2",

language = "English",

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journal = "Advances in Applied Clifford Algebras",

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T1 - Cauchy–Riemann Operators in Octonionic Analysis

AU - Kauhanen, Janne

AU - Orelma, Heikki

PY - 2018

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AB - In this paper we first recall the definition of the octonion algebra and its algebraic properties. We derive the so called e4-calculus and using it we obtain the list of generalized Cauchy–Riemann systems for octonionic monogenic functions.

KW - Cauchy–Riemann operators

KW - Dirac operators

KW - Monogenic functions

KW - Octonions

U2 - 10.1007/s00006-018-0826-2

DO - 10.1007/s00006-018-0826-2

M3 - Article

AN - SCOPUS:85041309780

SN - 0188-7009

VL - 28

JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

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M1 - 1

ER -

Cauchy–Riemann Operators in Octonionic Analysis

Abstrakti

Julkaisufoorumi-taso

!!ASJC Scopus subject areas

Pääsy asiakirjaan

Sormenjälki

Siteeraa tätä