Chung, Jae-Young; Yoo, Heung-Sang Trigonometric functional equations in Gevrey distributions. (English) Zbl 1179.39031 Honam Math. J. 30, No. 1, 185-195 (2008). 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 Keywords:trigonometric functional equation; d’Alembert equations; Gelfand-Shilov generalized functions; Gevrey distributions; heat kernel; Schwartz distributions; locally integrable solutions PDFBibTeX XMLCite \textit{J.-Y. Chung} and \textit{H.-S. Yoo}, Honam Math. J. 30, No. 1, 185--195 (2008; Zbl 1179.39031) Full Text: DOI