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D’Alembert’s Matrix Functional Equation with an Endomorphism on Abelian Groups

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Published in 2020 at "Results in Mathematics"

DOI: 10.1007/s00025-020-01265-6

Abstract: Let G be an abelian group, let $$M_{2}(\mathbb {C})$$ be the algebra of complex $$2\times 2$$ matrices, and let $$\varphi :G\rightarrow G$$ be an endomorphism that need not be involutive. We determine the solutions $$\Phi… read more here.

Keywords: endomorphism; functional equation; rightarrow mathbb; phi ... See more keywords