On a quadratic type functional equation on locally compact abelian groups
Let (G,+) be a locally compact abelian Hausdorff group, 𝓀 is a finite automorphism group of G, κ = card𝒦 and let µ be a regular compactly supported complex-valued Borel measure on G such that μ(G)=1κ$\mu ({\rm{G}}) = {1 \over \kappa }$. We find the continuous solutions f, g : G → ℂ of the functional...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Sciendo
2018-08-01
|
Series: | Acta Universitatis Sapientiae: Mathematica |
Subjects: | |
Online Access: | https://doi.org/10.2478/ausm-2018-0004 |