Almost periodic factorization of certain block triangular matrix functions
Ilya M. Spitkovsky, Darryl Yong · Mathematics of Computation · 1999
Let \[ G ( x ) = [ e i λ x I m a m p ; 0 c − 1 e − i ν x + c 0 + c 1 e i α x a m p ; e − i λ x I m ] , G(x)=\left [\begin {matrix}e^{i\lambda x}I_m & 0\ c_{-1}e^{-i u x}+c_0+c_1 e^{i\alpha x} & e^{-i\lambda x}I_m \end {matrix}\right ], \] where c j ∈ C m × m c_j\in \mathbb {C}^{m\times m} , α , ν > 0 \alpha , u >0 and α + ν =