CERTAIN AVERAGES ON THE A-ADIC NUMBERS

被引：4

作者：

ASMAR, NH ^{[1
]}

NAIR, R ^{[1
]}

机构：

[1] UNIV LIVERPOOL,DEPT PURE MATH,LIVERPOOL L69 3BX,ENGLAND

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 114卷 / 01期

关键词：

D O I：

10.2307/2159778

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For L(p) intersection L2 functions f, with p greater than one, defined on the a-adic numbers OMEGA(a), we consider averages like [GRAPHICS] where x and alpha are in OMEGA(a). Here p(n) denotes the nth prime. These averages are known to converge for almost all x. We describe explicitly these limits, which possibly contrary to expectation, turn out in general not to be the integral of f.

引用

页码：21 / 28

页数：8