Abstract
One proves the existence of the eigenfunctions of the continuous spectrum of a two-dimensional waveguide with periodic boundary. One carries out a normalization of the eigenfunctions of the continuous spectrum relative to an indefinite inner product.
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V. I. Derguzov, “The eigenfunctions of the continuous spectrum of a two-dimensional periodic optical waveguide,” J. Sov. Math.,35, No. 1 (1986).
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Translated from Problemy Matematicheskogo Analiza, No. 10, pp. 154–160, 1986.
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Malykhin, K.V. Eigenfunctions of the continuous spectrum of a waveguide with periodic boundary. J Math Sci 45, 1230–1235 (1989). https://doi.org/10.1007/BF01096155
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DOI: https://doi.org/10.1007/BF01096155