Linear functional equations involving finite substitutions
In this paper, we study single-variable linear functional equations that involve one unknown function and a finite set of known functions forming a group under composition. The main results present the complete description of the solution set, and provide an alternative and effective approach for so...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-016-526-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/48917 |
| Tartalmi kivonat: | In this paper, we study single-variable linear functional equations that involve one unknown function and a finite set of known functions forming a group under composition. The main results present the complete description of the solution set, and provide an alternative and effective approach for some known facts. In the proofs, the standard methods of Linear Algebra, of Group Theory, and the Axiom of Choice play a key role. |
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| Terjedelem/Fizikai jellemzők: | 71-81 |
| ISSN: | 0001 6969 |