Document Zbl 1382.43010

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

Banach J. Math. Anal. 11, No. 4, 808-824 (2017).

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.

Cited in 5 Documents

MSC:

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

Keywords:

hypergroup; sine-cosine equation; addition theorems

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