http://hdl.handle.net/20.500.12128/9309
Title: | Some generalization of the quadratic and Wilson's functional equation |
Authors: | Łukasik, Radosław |
Keywords: | Quadratic functional equation; Wilson’s functional equation |
Issue Date: | 2014 |
Citation: | Aequationes Mathematicae, Vol. 87, no. 1/2 (2014), s. 105-123 |
Abstract: | We find the solutions f, g, h: G → X, ϕ: G → K of each of the functional equation λ∈K f(x + λy) = |K|ϕ(y)g(x) + |K|h(y), x,y∈ G, where (G, +) is an abelian group, K is a finite, abelian subgroup of the automorphism group of G, X is a linear space over the field K ∈ {R,C}. |
URI: | http://hdl.handle.net/20.500.12128/9309 |
DOI: | 10.1007/s00010-013-0185-y |
ISSN: | 0001-9054 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Lukasik_Some_generalization_of_the_quadratic.pdf | 369,77 kB | Adobe PDF | View/Open |
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