caa a22 4500 605508968 CHVBK 20210128100639.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s00010-014-0287-1 doi (NATIONALLICENCE)springer-10.1007/s00010-014-0287-1 On Wilson's functional equations [Elektronische Daten] [Bruce Ebanks, Henrik Stetkær] We find on a group G the solutions $${f, g:G \to \mathbb{C}}$$ f , g : G → C of the functional equation $${f(xy) + f(y^{-1}x) = 2f(x)g(y), x, y \in G}$$ f ( x y ) + f ( y - 1 x ) = 2 f ( x ) g ( y ) , x , y ∈ G , in terms of characters, additive maps and matrix-elements of irreducible, 2-dimensional representations of G. Springer Basel, 2014 Functional equation nationallicence group nationallicence Wilson nationallicence Ebanks Bruce Department of Mathematics and Statistics, Mississippi State University, P.O. Drawer MA, 39762, Mississippi State, MS, USA aut Stetkær Henrik Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark aut Aequationes mathematicae Springer Basel 89/2(2015-04-01), 339-354 0001-9054 89:2<339 2015 89 10 https://doi.org/10.1007/s00010-014-0287-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00010-014-0287-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ebanks Bruce Department of Mathematics and Statistics, Mississippi State University, P.O. Drawer MA, 39762, Mississippi State, MS, USA aut NATIONALLICENCE 700 1- Stetkær Henrik Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark aut NATIONALLICENCE 773 0- Aequationes mathematicae Springer Basel 89/2(2015-04-01), 339-354 0001-9054 89:2<339 2015 89 10