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Sine and cosine equations on hypergroups. (English) Zbl 1382.43010

Summary: This article deals with trigonometric functional equations on hypergroups. We describe the general continuous solution of sine and cosine addition formulas and a so-called sine-cosine functional equation on a locally compact hypergroup in terms of exponential functions, sine functions, and second-order generalized moment functions.

MSC:

43A62 Harmonic analysis on hypergroups
20N20 Hypergroups
39B32 Functional equations for complex functions
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