Explicit Wiener-Hopf factorization for certain non-rational matrix functions
- Cite this article as:
- Aktosun, T., Klaus, M. & van der Mee, C. Integr equ oper theory (1992) 15: 879. doi:10.1007/BF01203119
Explicit Wiener-Hopf factorizations are obtained for a certain class of nonrational 2×2 matrix functions that are related to the scattering matrices for the 1-D Schrödinger equation. The diagonal elements coincide and are meromorphic and nonzero in the upper-half complex plane and either they vanish linearly at the origin or they do not vanish. The most conspicuous nonrationality consists of imaginary exponential factors in the off-diagonal elements.