摘要
给出非负实数集R+到p-ad ic数域Qp\Mp(其中Mp为零测度集)的可逆映射P:R+→Qp\Mp,分析了映射P及P-1的基本性质.利用该映射给出了p-ad ic数域Qp中测度的构造理论,证明了该测度具有平移不变性.给出了σ-环上的测度的唯一性定理.
In this paper the reversible mapping P from R^＋ into Qp／Mp is given where Mp is a set of measure zero, and the properties of P and P^-1 are discussed. By means of this mapping we develop the theory of constructing the measure in p-adic number field Qp. We prove the translation-invariability and the uniqueness of the measure in σ-ring.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2006年第4期548-552,共5页
Journal of Harbin Institute of Technology
