×

Some results on the invertibility of Wiener-Hopf-Hankel operators. (English) Zbl 0787.47022

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.

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
PDFBibTeX XMLCite
Full Text: DOI