Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra

Zhaolin Jiang, Tingting Xu and Fuliang Lu

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

The skew-circulant matrix has been used in solving ordinary differential equations. We prove that the set of skew-circulants with complex entries has an idempotent basis. On that basis, a skew-cyclic group of automorphisms and functional equations on the skew-circulant algebra is introduced. And different operators on linear vector space that are isomorphic to the algebra of complex skew-circulant matrices are displayed in this paper.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:418194

DOI: 10.1155/2014/418194

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