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THE KERNELS OF PRODUCT TYPE ON LOCAL FIELDS
作者姓名:苏维宜
作者单位:Department of
基金项目:Supported by the Science Fund of the Chinese Academy of Sciences
摘    要:Let K be a local field,that is.K is a locally compactnon-discrete complete and totally disconnected field.A non-Archimedean norm is endowed on K:x→|x|is a mapping from K intoR~+,such that(i)|X|=0 iff X=0;(ii)|xy|=|x||y|;(iii)|x+y|≤max{|x|,|y|}.Then|x|is called the absolute value of x.Theset={x∈K:|x|≤1}is the ring of integers in K,and={x∈K:

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