The cosine addition and subtraction formulas on non-abelian groups: Addition and subtraction formulas: O. Ajebbar et al.

Omar Ajebbar, Elhoucien Elqorachi, Henrik Stetkær*

*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

Abstract

Let G be a topological group, and let C(G) denote the algebra of continuous, complex valued functions on G. We determine the solutions f,g,h∈C(G) of the Levi-Civita equation (Formula presented.) that extends the cosine addition law. As a corollary we obtain the solutions f,g∈C(G) of the cosine subtraction law g(xy)=g(x)g(y)+f(x)f(y), x,y∈G where x↦x is a continuous involution of G. That x↦x is an involution, means that (xy)=yx and x∗∗=x for all x,y∈G.

OriginalsprogEngelsk
TidsskriftAequationes Mathematicae
Vol/bind98
Nummer6
Sider (fra-til)1657-1676
Antal sider20
ISSN0001-9054
DOI
StatusUdgivet - dec. 2024

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