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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. LOMI, 1981 Volume 104, Pages 6–13 (Mi znsl3372)
This article is cited in 9 papers

On complex ray solutions and eigenfunctions concentrated in a neighbourhood of the closed geodesic

V. M. Babich, V. V. Ulin


Abstract: A new method of obtaining of formulas for eigenfunctions, concentrated in a neighbourhood of the closed geodesic is proposed. The method is connected with V. P. Maslov technique (see [2]) and based on ray expansions with complex eiconal.

UDC: 534.22.094.1


 English version: Journal of Soviet Mathematics, 1982, 20:1, 1749–1753

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© Steklov Math. Inst. of RAS, 2024