摘要
引入了ｐ－进Ｈａａｒ函数系和ｐ－进Ｆｒａｎｋｌｉｎ函数系，证明了它们都是［０，１］上完备的标准正交系，而且是空间Ｃ［０，１］的（广义）Ｓｃｈａｕｄｅｒ基。
In this paper we introduce the p adic Haar system and the p adic Franklin system, and it is proved that they are complete orthonormal systems on the interval , and they are the (generalized) Schauder bases of the space C.
关键词
p-进Haar
p-进Franklin
正交函数系
函数系
p adic Haar system
Complete orthonormal system
continuous moduius
Schauder basis
p adic rational interval
p adic Franklin system
