Eigenfunctions Concentrated in a Neighborhood of a Closed Geodesic

Abstract

The asymptotic behavior of the eigenfunctions for the triaxial ellipsoid $$\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} + \frac{{{z^2}}}{{{c^2}}} = 1\;,\;\;a > b > c\;. $$ (1.1) has been studied in the papers .of V. P. Bykov [1] and L. A. Vainshtein [2].