Abstract
Abstract We solve the functional equation where 𝐺 is a locally compact Abelian group, {𝑘0 = 𝑖𝑑𝐺, 𝑘1, . . . , 𝑘𝑁–1} is a finite group of continuous automorphisms of 𝐺, 𝑓 is a bounded continuous complex-valued function on 𝐺 and 𝑔 is an almost periodic function on 𝐺.
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