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: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2018-08-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/ausm-2018-0004 |