@article{Fadli_Zeglami_Kabbaj_2018, title={An integral functional equation on groups under two measures.}, volume={37}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3172}, abstractNote={<p>Let G be a locally compact Hausdorff group, let σ be a continuous involutive automorphism on G, and let µ, ν be regular, compactly supported, complex-valued Borel measures on G. We find the continuous solutions f : G → C of the functional equation</p> <p><img src="/public/site/images/rvidal/a34_565_581001.png"></p> <p>in terms of continuous characters of G. This equation provides a common generalization of many functional equations (d’Alembert’s, Cauchy’s, Gajda’s, Kannappan’s, Stetkær’s, Van Vleck’s equations...). So, a large class of functional equations will be solved.</p> <p>&nbsp;</p> <p>&nbsp;</p>}, number={3}, journal={Proyecciones (Antofagasta, On line)}, author={Fadli, B. and Zeglami, D. and Kabbaj, S.}, year={2018}, month={Sep.}, pages={565-581} }