Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619236 | Journal of Mathematical Analysis and Applications | 2010 | 18 Pages |
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.
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