Geodesic
On stability of homomorphisms in the group $\mathbf{R}^*$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 29-32

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We give simple sufficient conditions under which a real function on a group is a homomorphism of this group into the group $\mathbf{R}^*$. 
@article{VMUMM_1982_3_a7,
     author = {A. I. Shtern},
     title = {On stability of homomorphisms in the group $\mathbf{R}^*$},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {29--32},
     publisher = {mathdoc},
     number = {3},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a7/}
}
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A. I. Shtern. On stability of homomorphisms in the group $\mathbf{R}^*$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 29-32. http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a7/