an:06506974
Zbl 1327.43004
Xu, Bangteng
Dual bent functions on finite groups and \(C\)-algebras
EN
J. Pure Appl. Algebra 220, No. 3, 1055-1073 (2016).
00349824
2016
j
43A30 20C99 11T71
Summary: The dual of a (bent) function on a finite abelian group is a natural concept. In this paper we study the dual bent functions on finite nonabelian groups. A more general algebraic structure of a \(C\)-algebra provides a better and natural context for this purpose. We will first study Fourier transforms, bent functions, and dual bent functions on \(C\)-algebras. Then as an application, we obtain the properties of dual bent functions on finite nonabelian groups. Examples of bent functions on \(C\)-algebras are also presented.