Article ID Journal Published Year Pages File Type
4619236 Journal of Mathematical Analysis and Applications 2010 18 Pages PDF
Abstract

A factorability criterion is obtained constructively, and the respective factorization obtained explicitly, for 2×2 triangular almost periodic matrix functions of the form . Here f=c−1e−α−c0+c1eβ, eμ(x):=eiμx, cj are non-zero constants and 0<α,β, α+β<λ⩽α+β+max{α,β} with α/β being irrational. Note that the factorization problem, even for triangular matrix functions as above with an arbitrary trinomial f, is open. The result obtained is yet another step towards its solution.

Related Topics
Physical Sciences and Engineering Mathematics Analysis