Using an abbreviation e? to denote the function ei?x on the real line R, let G=[e?0fe??], where f is a linear combination of the functions e?, e?, e???, e??? with some (0<)?,?<?. The criterion for G to admit a canonical factorization was established recently by Avdonin, Bulanova and Moran (2007) . We give an alternative approach to the matter, proving the existence (when it does take place) via deriving explicit factorization formulas. The non-existence of the canonical factorization in the remaining cases then follows from the continuity property of the geometric mean.
- Almost periodic factorization
ASJC Scopus subject areas
- Applied Mathematics