A calculus approach to hyperfunctions I
A calculus approach to hyperfunctions I
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超功能的微积分方法 I
DOI：
10.1017/s0027763000002646
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发表时间：
1987
影响因子：
0.8
通讯作者：
T. Matsuzawa
中科院分区：
文献类型：
--
作者：
T. Matsuzawa
在本文中，我们将不用代数方法给出超函数的一个新的刻画，并用它给出第9章[3]中讨论的问题的更简单的证明。在[3]中，K⊂Rn(n≧1)中具有紧支撑的超函数A‘(K)空间被认为是在K附近实解析的函数空间A(K)的对偶。A’(K)的每个元素u被刻画为Rn×R中双层势的密度。
In this paper, we shall give a new characterization of hyperfunctions without algebraic method and apply to give simpler proofs to problems discussed in [3], Chapter 9. In [3], the spaces of hyperfunctions A′(K) with compact support in K ⊂ Rn (n ≧ 1) is considered as the dual of the space A(K) of functions which are real analytic near K. Each element u of A′(K) is characterized as a density of a double layer potential in Rn × R.