Extensions of the sine addition law on groups View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-04

AUTHORS

Henrik Stetkær

ABSTRACT

Let G be a group, and let χ and μ be characters of G. We find the solutions of the functional equation f(xy)=f(x)χ(y)+μ(x)f(y), x,y∈G, where f:G→C is the unknown function. This enables us to solve its Pexiderized version f(xy)=g(x)h1(y)+μ(x)h2(y), x,y∈G, in which f,g,h1,h2:G→C are the unknown functions.

PAGES

467-484

Journal

TITLE

Aequationes mathematicae

ISSUE

2

VOLUME

93

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00010-018-0584-1

DOI

http://dx.doi.org/10.1007/s00010-018-0584-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1105732458


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