Academic Journal
Characterization of additive functions with values in a compact Abelian group
| Title: | Characterization of additive functions with values in a compact Abelian group |
|---|---|
| Authors: | Bui Minh Phong |
| Source: | Publicationes Mathematicae Debrecen. 40:273-278 |
| Publisher Information: | University of Debrecen/ Debreceni Egyetem, 2022. |
| Publication Year: | 2022 |
| Subject Terms: | Other results on the distribution of values or the characterization of arithmetic functions, compact Abelian topological group, Asymptotic results on arithmetic functions, completely additive functions, 0101 mathematics, 01 natural sciences |
| Description: | Denote by \(A_ G^*\) the class of completely additive functions with values in the compact Abelian topological group \(G\). The author generalizes results of Z. Daróczy and I. Kátai. For example, he characterizes the functions \(\varphi\) in \(A_ G^*\) for which the limit \(\lim_{n\to\infty}(\varphi(An+B)-\varphi(n))\) \((A,B\in\mathbb{N})\) exists. |
| Document Type: | Article |
| File Description: | application/xml |
| ISSN: | 0033-3883 |
| DOI: | 10.5486/pmd.1992.40.3-4.11 |
| Access URL: | https://zbmath.org/40454 |
| Accession Number: | edsair.doi.dedup.....bf167d462535814abd1b7c108cf5960f |
| Database: | OpenAIRE |
| ISSN: | 00333883 |
|---|---|
| DOI: | 10.5486/pmd.1992.40.3-4.11 |