NONSTANDARD ANALYSIS AND MULTIPLICATION OF DISTRIBUTIONS IN ANY DIMENSION

被引:0
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作者
李邦河
李雅卿
机构
[1] Institute of Systems Science
[2] Beijng
[3] Academia Sinica
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NONSTANDARD ANALYSIS AND MULTIPLICATION OF DISTRIBUTIONS IN ANY DIMENSION;
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摘要
The product defined in [1] for 1-dimensional distribution has been generalized to any dimension. Thus, for any S, T∈D’(R), we have product S°T. This product possesses the properties that the ordinary product has. A new phenomenon is: the self-product of even dimensional δ function has the nonzero Hadamard finite part.
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页码:716 / 726
页数:11
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