SOME BASIC THEOREMS OF CALCULUS ON THE FIELD OF p-ADIC NUMBERS

  • CUI MINGGEN (Department of Mathematics, Harbin Institute of Technology) ;
  • LIU HUANPING (Department of Information Science, Harbin Normal University) ;
  • CHUNG PHIL UNG (Department of Mathematics, Kangwon National University)
  • Published : 2005.05.01

Abstract

In this paper, we introduce the concept of derivative of the function f : $\mathbb{Q}p{\to} R$ where $\mathbb{Q}p$ is the field of the p-adic numbers and R is the set of real numbers. And some basic theorems on derivatives are given.

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