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Hyers–Ulam–Rassias stability of Cauchy equation in the space of Schwartz distributions
Authors:Jaeyoung Chung
Institution:Department of Mathematics, Kunsan National University, Kunsan 573-701, South Korea
Abstract:We reformulate and prove the Hyers–Ulam–Rassias stability of Cauchy equation in the space of Schwartz tempered distributions and Fourier hyperfunctions.
Keywords:Gauss transforms  Heat kernel  Distributions  Hyperfunctions  Heat polynomial  Stability  Cauchy equation
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