Abstract
An asymptotic representation of the eigenfunctions of a convolution-type completely continuous operator for which the image of the kernel is the characteristic function of the interval is constructed.
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S. Ukai, J. Math. Physics, 12 (1), 83–92 (1971).
B. V. Pal’tsev, Izv.: Math. 67 (4), 695–779 (2003).
M. Sh. Birman and M. Z. Solomyak, Math. USSR-Izv. 4 (5), 1151–1168 (1970).
A. A. Polosin, Differ. Equations 46 (10), 1519–1522 (2010).
F. D. Gakhov and Yu. I. Cherskii, Convolution-Type Equations (Nauka, Moscow, 1978) [in Russian].
F. D. Gakhov, Boundary Value Problems (Nauka, Moscow, 1977) [in Russian].
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Original Russian Text © A.A. Polosin, 2017, published in Doklady Akademii Nauk, 2017, Vol. 475, No. 6, pp. 614–617.
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Polosin, A.A. On eigenfunctions of a convolution operator on a finite interval for which the Fourier image of the kernel is the characteristic function. Dokl. Math. 96, 389–392 (2017). https://doi.org/10.1134/S1064562417040305
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DOI: https://doi.org/10.1134/S1064562417040305