Abstract
In this paper a new notion of uniform distribution of double sequences is introduced. In the most elementary case a double sequence (xmn)m, n∈N is called uniformly distributed in this sense if all finite matrices of equal size appear with the same frequency as submatrices of the infinite matrix (xmn). Some special double sequences with such a distribution property are studied and metric theorems are proved.
Original language | English |
---|---|
Pages (from-to) | 195-207 |
Number of pages | 13 |
Journal | Manuscripta mathematica |
Volume | 35 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 1 Feb 1981 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)