Translation representations and scattering by two intervals
Translation representations and scattering by two intervals
Studying unitary one-parameter groups in Hilbert space \documentclass[12pt]{minimal}\begin{document}$(U(t),\mathscr{H})$\end{document}(U(t),H), we show that a model for obstacle scattering can be built, up to unitary equivalence, with the use of translation representations for L2-functions in the complement of two finite and disjoint intervals. The model encompasses a family of systems \documentclass[12pt]{minimal}\begin{document}$(U(t),\mathscr{H})$\end{document}(U(t),H). For each, …