Abstract
We study properties of solutions of d'Alembert's functional equations on a topological group . For nilpotent groups and for connected, solvable Lie groups , we prove that has the form , , where is a continuous homomorphism of into the multiplicative group . We give conditions on and/or for equality in the inclusion for all .
Originalsprog | Engelsk |
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Udgivelsessted | Århus |
Udgiver | Department of Mathematical Sciences , University of Aarhus |
Antal sider | 22 |
Status | Udgivet - 2007 |