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Trigonometric functional equations in Gevrey distributions. (English) Zbl 1179.39031

Summary: We consider a system of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand generalized functions. As a consequence we find locally integrable solutions of the \(n\)-dimensional trigonometric functional equation.

MSC:

39B32 Functional equations for complex functions
46F10 Operations with distributions and generalized functions
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