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On the eigenvalue counting function for weighted Laplace-Beltrami operators

โœ Scribed by Maria Lianantonakis


Publisher
Springer-Verlag
Year
2000
Tongue
English
Weight
908 KB
Volume
10
Category
Article
ISSN
1050-6926

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## Abstract We study the asymptotic behavior of the eigenvalues and the eigenfunctions of the Laplaceโ€“Beltrami operator on a Riemannian manifold __M__^ฮต^ depending on a small parameter ฮต>0 and whose structure becomes complicated as ฮตโ†’0. Under a few assumptions on scales of __M__^ฮต^ we obtain the ho