Karpeshina, Yu. E. A decomposition theorem for the eigenfunctions of the problem of scattering by homogeneous periodic objects of chain type in three- dimensional space. (English) Zbl 0582.47010 Sel. Math. Sov. 4, 259-276 (1985). Translation from Probl. Mat. Fiz. 10, 137-163 (Russian) (1982; Zbl 0514.47007). MSC: 47A40 Scattering theory of linear operators 47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces Keywords:eigenfunction expansion; scattering by homogeneous periodical supports of chain-type; zero-radius potential approximation; completeness of the eigenfunctions Citations:Zbl 0514.47007 PDFBibTeX XMLCite \textit{Yu. E. Karpeshina}, Sel. Math. Sov. 4, 259--276 (1985; Zbl 0582.47010)