Displaying 61 – 80 of 185

Showing per page

A note on some expansions of p-adic functions

Grzegorz Szkibiel (1992)

Acta Arithmetica

Introduction. Recently J. Rutkowski (see [3]) has defined the p-adic analogue of the Walsh system, which we shall denote by ( ϕ ) m . The system ( ϕ ) m is defined in the space C(ℤₚ,ℂₚ) of ℂₚ-valued continuous functions on ℤₚ. J. Rutkowski has also considered some questions concerning expansions of functions from C(ℤₚ,ℂₚ) with respect to ( ϕ ) m . This paper is a remark to Rutkowski’s paper. We define another system ( h ) n in C(ℤₚ,ℂₚ), investigate its properties and compare it to the system defined by Rutkowski. The system...

Currently displaying 61 – 80 of 185