The Logical Derivatives and Integrals
Received:March 17, 1981  
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Zheng Weixing Nanjing University 
Su Weiyi Nanjing University 
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      Walsh analysis has evolved over the past decade and the end of the development is nowhere in sight. However, it is sure that the logical derivatives and integrals, or p-adic derivatives and integrals, play a very important role in Walsh analysis. In this paper, we introduce the concept of p-adic integrals in L(0,∞)q,1≤q≤2 , study some properties of them and obtain the relation between p-adic derivative and integral.
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