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ISSN : 1226-0657

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Vol.12 No.2
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Hyers-Ulam-Rassias stability of quadratic functional equation in the space of Schwartz tempered distributions

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2005, v.12 no.2, pp.133-142
CHUNG JAEYOUNG
CHUNG, J. (2005). Hyers-Ulam-Rassias stability of quadratic functional equation in the space of Schwartz tempered distributions. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 12(2), 133-142.
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Abstract

Generalizing the Cauchy-Rassias inequality in [Th. M. Rassias: On the stability of the linear mapping in Banach spaces. Proc. Amer. Math. Soc. 72 (1978), no. 2, 297-300.] we consider a stability problem of quadratic functional equation in the spaces of generalized functions such as the Schwartz tempered distributions and Sato hyperfunctions.

keywords
Gauss transforms, Heat kernel, distributions, hyperfunctions, stability

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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