Symmetries and associated pairs in quaternionic analysis

Ricardo Abreu Blaya, Juan Bory Reyes, Alí Guzmán Adán, Uwe Kähler

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

The present paper is aimed at proving necessary and sufficient conditions on the quaternionic-valued coefficients of a first-order linear operator to be associated to the generalized Cauchy-Riemann operator in quarternionic analysis and explicitly we give the description of all its nontrivial first-order symmetries.

Original languageEnglish
Title of host publicationHypercomplex Analysis
Subtitle of host publicationNew Perspectives and Applications
EditorsSwanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen
PublisherSpringer International Publishing
Pages1-18
Number of pages18
ISBN (Print)9783319087702
DOIs
StatePublished - 2014
Externally publishedYes
Event9th International ISAAC Congress on International Society for Analysis, its Applications, and Computations, 2013 - Krakow, Poland
Duration: 5 Aug 20139 Aug 2013

Publication series

NameTrends in Mathematics
Volume65
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Conference

Conference9th International ISAAC Congress on International Society for Analysis, its Applications, and Computations, 2013
Country/TerritoryPoland
CityKrakow
Period5/08/139/08/13

Keywords

  • Generalized Cauchy-Riemann operator
  • Quaternionic analysis
  • Symmetries and associated pairs

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