【摘要】 完整地给出了有理数域Q关于p—adic度量完备化数域Qp上的p—adic测度与p—adic变量实值函数的积分的定义,构造了R+与Qp之间的自然映射P与P*,提示了p—adic积分与Riemann积分之间的内在关系,最后给出了p—adic积分中值定理。更多还原

【Abstract】 The definitons of p - adic measure and the integral of real valued functions of p - adic variables on the Qp completion of rational number field Q with respect to p - adic metric, and the natural mapping P and P* between R+ and Qp are given. The relationship between p -adic integral and Riemann integral is established. The mean value theorem of p - adic is provided.更多还原