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D’Alembert’s and Wilson’s functional equations on step 2 nilpotent groups

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Summary.

We describe the set of solutions of Wilson’s functional equation on any step 2 nilpotent group and how the set of classical solutions in certain cases must be supplemented by 4-dimensional spaces of solutions.

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  1. Department of Mathematical Sciences, University of Aarhus, Building 530, Ny Munkegade, DK-8000, Aarhus C, Denmark

    Henrik Stetkær

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  1. Henrik Stetkær
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Correspondence to Henrik Stetkær.

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Stetkær, H. D’Alembert’s and Wilson’s functional equations on step 2 nilpotent groups . Aequ. math. 67, 241–262 (2004). https://doi.org/10.1007/s00010-003-2715-5

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  • DOI: https://doi.org/10.1007/s00010-003-2715-5

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