Spectrum of the Laplace–Beltrami operator on suspensions of toric automorphisms

K. M. Zuev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The spectrum and the eigenbasis of the Laplace–Beltrami operator on the suspensions of toric automorphisms are investigated. A description in terms of solutions of one-dimensional Schrödinger's equation is presented.
Bibliography: 10 titles.

UDC: 517.927.25

MSC: Primary 58G25; Secondary 81Q05

Received: 31.01.2006

DOI: 10.4213/sm1523

 English version: Sbornik: Mathematics, 2006, 197:9, 1297–1308

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