Lebre, A. B.; Meister, E.; Teixeira, F. S. Some results on the invertibility of Wiener-Hopf-Hankel operators. (English) Zbl 0787.47022 Z. Anal. Anwend. 11, No. 1, 57-76 (1992). Summary: A study is presented on the invertibility properties of scalar operators defined as the sum of a Wiener-Hopf and a Hankel operator on \(L_ 2(\mathbb{R}^ +)\) with symbols in \(L_ \infty(\mathbb{R})\). This study is based on the properties of a vector Wiener-Hopf operator naturally associated with each of the operators mentioned above. The results obtained are applied to problems in Diffraction Theory. Cited in 11 Documents MSC: 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators 47B40 Spectral operators, decomposable operators, well-bounded operators, etc. 78A45 Diffraction, scattering Keywords:Wiener-Hopf operators; factorization; diffraction theory; invertibility properties of scalar operators; sum of a Wiener-Hopf and a Hankel operator PDFBibTeX XMLCite \textit{A. B. Lebre} et al., Z. Anal. Anwend. 11, No. 1, 57--76 (1992; Zbl 0787.47022) Full Text: DOI