J4 ›› 2012, Vol. 50 ›› Issue (03): 425-.
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LI Linsong, CUI Liying
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Abstract:
By means of heat kernel and the approach of regularizing generalized functions, HyersUlam stability of Wilson functional equation was mainly studied in the spaces of generalized functions such as the Schwartz tempered distributions, Fourier hyperfunctions and Gelfandshilov generalized functions, showing that the result of the stability of Wilson functional equation in generalized functions is similar to that in the usual functional spaces.
Key words: Wilson functional equation; generalized functions; heat kernel; HyersUlam stability
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LI Lin-Song, CUI Li-Yang. Stability of Wilson Functional Equation inthe Spaces of Generalized Functions[J].J4, 2012, 50(03): 425-.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2012/V50/I03/425
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