Academic Journal
Characterization of additive functions with values in a compact Abelian group
| Τίτλος: | Characterization of additive functions with values in a compact Abelian group |
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| Συγγραφείς: | Bui Minh Phong |
| Πηγή: | Publicationes Mathematicae Debrecen. 40:273-278 |
| Στοιχεία εκδότη: | University of Debrecen/ Debreceni Egyetem, 2022. |
| Έτος έκδοσης: | 2022 |
| Θεματικοί όροι: | 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 |
| Περιγραφή: | 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. |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/xml |
| ISSN: | 0033-3883 |
| DOI: | 10.5486/pmd.1992.40.3-4.11 |
| Σύνδεσμος πρόσβασης: | https://zbmath.org/40454 |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....bf167d462535814abd1b7c108cf5960f |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 00333883 |
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| DOI: | 10.5486/pmd.1992.40.3-4.11 |