Hyers-Ulam stability theorems for Pexider equations in the space of Schwartz distributions
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Making use of the fundamental solution of the heat equation we prove stabilities of the Pexider equation and the Pexider-exponential equation in spaces of generalized functions such as the Schwartz tempered distributions, Fourier hyperfunctions and Gelfand-Shilov generalized functions.
Mathematics Subject Classification (1991).39B82 46F12
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