ISSN:
1432-0622
Keywords:
Keywords: Abelian groups
;
Partitions.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
,
Technology
Notes:
Abstract. An F-partition is a partition of an abelian group with the property that the linear space generated by the indicator functions of the subsets in the partition is invariant under Fourier transformation. In the present paper we study the special case of F-partitions over cyclic groups. We introduce the concept of multiplicative partitions and we show that for cyclic groups of prime orders any F-partition is necessarily multiplicative.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002000050076
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