The stability of the sine and cosine functional equations in Schwartz distributions
Bull. Korean Math. Soc. 2009 Vol. 46, No. 1, 87-97 Printed January 1, 2009
Jeongwook Chang and Jaeyoung Chung Kunsan National University
Abstract : We prove the Hyers-Ulam stability of the sine and cosine functional equations in the spaces of generalized functions such as Sch\-war\-tz distributions, Fourier hyperfunctions, and Gelfand generalized functions.