On complex ray solutions and eigenfunctions concentrated in a~neighbourhood of the closed geodesic
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 11, Tome 104 (1981), pp. 6-13
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{ZNSL_1981_104_a0,
author = {V. M. Babich and V. V. Ulin},
title = {On complex ray solutions and eigenfunctions concentrated in a~neighbourhood of the closed geodesic},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {6--13},
publisher = {mathdoc},
volume = {104},
year = {1981},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_104_a0/}
}
TY - JOUR AU - V. M. Babich AU - V. V. Ulin TI - On complex ray solutions and eigenfunctions concentrated in a~neighbourhood of the closed geodesic JO - Zapiski Nauchnykh Seminarov POMI PY - 1981 SP - 6 EP - 13 VL - 104 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1981_104_a0/ LA - ru ID - ZNSL_1981_104_a0 ER -
V. M. Babich; V. V. Ulin. On complex ray solutions and eigenfunctions concentrated in a~neighbourhood of the closed geodesic. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 11, Tome 104 (1981), pp. 6-13. http://geodesic.mathdoc.fr/item/ZNSL_1981_104_a0/