On Wilson's functional equations

Verfasser / Beitragende:
[Bruce Ebanks, Henrik Stetkær]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/2(2015-04-01), 339-354
Format:
Artikel (online)
ID: 605508968
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024 7 0 |a 10.1007/s00010-014-0287-1  |2 doi 
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245 0 0 |a On Wilson's functional equations  |h [Elektronische Daten]  |c [Bruce Ebanks, Henrik Stetkær] 
520 3 |a 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. 
540 |a Springer Basel, 2014 
690 7 |a Functional equation  |2 nationallicence 
690 7 |a group  |2 nationallicence 
690 7 |a Wilson  |2 nationallicence 
700 1 |a Ebanks  |D Bruce  |u Department of Mathematics and Statistics, Mississippi State University, P.O. Drawer MA, 39762, Mississippi State, MS, USA  |4 aut 
700 1 |a Stetkær  |D Henrik  |u Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark  |4 aut 
773 0 |t Aequationes mathematicae  |d Springer Basel  |g 89/2(2015-04-01), 339-354  |x 0001-9054  |q 89:2<339  |1 2015  |2 89  |o 10 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ebanks  |D Bruce  |u Department of Mathematics and Statistics, Mississippi State University, P.O. Drawer MA, 39762, Mississippi State, MS, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Stetkær  |D Henrik  |u Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Aequationes mathematicae  |d Springer Basel  |g 89/2(2015-04-01), 339-354  |x 0001-9054  |q 89:2<339  |1 2015  |2 89  |o 10