%0 Journal Article %T Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions %A Lee Young-Su %J Journal of Inequalities and Applications %D 2008 %I Springer %X Making use of the pullbacks, we reformulate the following quadratic functional equation: in the spaces of generalized functions. Also, using the fundamental solution of the heat equation, we obtain the general solution and prove the Hyers-Ulam stability of this equation in the spaces of generalized functions such as tempered distributions and Fourier hyperfunctions. %U http://www.journalofinequalitiesandapplications.com/content/2008/210615