SET-VALUED DERIVATIVES OF n-DIMENSIONAL SCHWIRTZ DISTRIBUTIONS

Dong Jiali

Journal of Systems Science and Mathematical Sciences ›› 1997, Vol. 17 ›› Issue (3) : 213-220.

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Journal of Systems Science and Mathematical Sciences ›› 1997, Vol. 17 ›› Issue (3) : 213-220. DOI: 10.12341/jssms09368
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SET-VALUED DERIVATIVES OF n-DIMENSIONAL SCHWIRTZ DISTRIBUTIONS

  • Dong Jiali
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Abstract

In this paper, the set-valued derivatives of n-dimensional distributions are introduced as a generalization of that of one-dimensional distributions defined in [9]. Results corresponding to those given in [9] are also obtained. Moreover, some ot

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Schwartz distribution / harmonic representation / nonstandard analysis / setvalued derivativ

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Dong Jiali. SET-VALUED DERIVATIVES OF n-DIMENSIONAL SCHWIRTZ DISTRIBUTIONS. Journal of Systems Science and Mathematical Sciences, 1997, 17(3): 213-220 https://doi.org/10.12341/jssms09368
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