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Stability for quadratic functional equation in the spaces of generalized functions |
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| Authors: | Young-Su Lee Soon-Yeong Chung |
| Affiliation: | a Department of Mathematics, Sogang University, Seoul 121-741, Republic of Korea b Department of Mathematics and the Interdisciplinary Program of Integrated Biotechnology, Sogang University, Seoul 121-741, Republic of Korea |
| Abstract: | In this paper, we consider the general solution of quadratic functional equation f(ax+y)+f(ax−y)=f(x+y)+f(x−y)+2(a2−1)f(x) |
| Keywords: | Quadratic functional equation Hyers-Ulam-Rassias stability Distribution Heat kernel Gauss transform |
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