Asymptotic compactness - Open Access .click

St. Petersburg Mathematical Journal, 2022
The asymptotics is found for eigenvalues of polynomially compact pseudodifferential operators of the zeroth order.
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Asymptotic Cycles on Non‐Compact Spaces

Bulletin of the London Mathematical Society, 1997
The notion of an asymptotic cycle is extended to flows on non-compact spaces and it is proved that for a suitable class of flows on manifolds it is true that the set of points with asymptotic cycles defined has measure one with respect to every invariant probability measure.
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Spectral Asymptotics on Compact Heisenberg Manifolds

The Journal of Geometric Analysis, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Eigenvalue asymptotics for almost flat compact hypersurfaces

Doklady Mathematics, 2012
Let \(h_\pm\) be a pair of smooth functions on a bounded domain \(\omega\subset\mathbb{R}^n\) which vanish on the boundary \(\partial\omega\). Under further assumptions on \(h_\pm\), and for small \(\varepsilon>0\), the authors consider the Laplace--Beltrami operator, \(\mathcal{H}_\varepsilon\), on the union, \(\mathcal{S}_\varepsilon\), of the graphs
Borisov, D. I., Freitas, P.
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