Almost periodic factorization of block triangular matrix functions revisited

✍ Scribed by Yuri I. Karlovich; Ilya M. Spitkovsky; Ronald A. Walker

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 278 KB
• Volume: 293
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(99)00041-5

✦ Synopsis

Let G be an n  n lmost periodi (AP) matrix function de®ned on the real line R. By the AP factorization of G we understand its representation in the form q q Kq À , where q AE1 (q AE1 À ) is an AP matrix function with all Fourier exponents of its entries being non-negative (respectively, non-positive) and Kx

This factorization plays an important role in the consideration of systems of convolution type equations on unions of intervals. In particular, systems of m equations on one interval of length k lead to AP factorization of matrices www.elsevier.com/locate/laa