Lazutkin, V. F.; Pankratova, T. F. Asymptotics of the width of gaps in the spectrum of the Sturm-Liouville operator with a periodic potential. (English. Russian original) Zbl 0318.34035 Sov. Math., Dokl. 15, 649-653 (1974); translation from Dokl. Akad. Nauk SSSR 215, 1048-1051 (1974). MSC: 34L99 47E05 34A30 47A25 PDFBibTeX XMLCite \textit{V. F. Lazutkin} and \textit{T. F. Pankratova}, Sov. Math., Dokl. 15, 649--653 (1974; Zbl 0318.34035); translation from Dokl. Akad. Nauk SSSR 215, 1048--1051 (1974)
Lazutkin, V. F. Asymptotics of the eigenvalues of the Laplacian and quasimodes. A series of quasimodes corresponding to a system of caustics close to the boundary of the domain. (English) Zbl 0282.35063 Math. USSR, Izv. 7(1973), 439-466 (1974). MSC: 35P20 35J05 47F05 PDFBibTeX XMLCite \textit{V. F. Lazutkin}, Math. USSR, Izv. 7, 439--466 (1974; Zbl 0282.35063) Full Text: DOI
Lazutkin, V. F. Construction of the asymptotics of the series of eigenfunctions of the Laplace operator that corresponds to an elliptic periodic trajectory of the billiard problem. (Kontruktion der Asymptotik der Reihe von Eigenfunktionen des Laplaceoperators, der entsprechenden elliptischen periodischen Trajektorie des Billardproblems.) (Russian) Zbl 0296.35062 Probl. Mat. Fiz. 6, 90-100 (1973). Reviewer: W. Höppner MSC: 35P20 47F05 37D50 PDFBibTeX XML