On Wilson's functional equations
Gespeichert in:
Verfasser / Beitragende:
[Bruce Ebanks, Henrik Stetkær]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/2(2015-04-01), 339-354
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s00010-014-0287-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0287-1 | ||
| 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 | ||