Hyers-Ulam-Rassias stability of quadratic functional equation in the space of Schwartz tempered distributions

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics Kunsan National University)

CHUNG JAEYOUNG. (2005). HYERS-ULAM-RASSIAS STABILITY OF QUADRATIC FUNCTIONAL EQUATION IN THE SPACE OF SCHWARTZ TEMPERED DISTRIBUTIONS. 한국수학교육학회지시리즈B:순수및응용수학, 12(2), 133-142.

복사

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

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Vol.12 No.2

HYERS-ULAM-RASSIAS STABILITY OF QUADRATIC FUNCTIONAL EQUATION IN THE SPACE OF SCHWARTZ TEMPERED DISTRIBUTIONS

Hyers-Ulam-Rassias stability of quadratic functional equation in the space of Schwartz tempered distributions

Abstract

한국수학교육학회지시리즈B:순수및응용수학