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- W2058529503 abstract "An inequality for trace (etΔD) is proven, where −ΔD is the Dirichlet Laplacian for horn-shaped regions D in Rn. The results of Rozenbljum and Simon for the leading asymptotics for the growth of the number of eigenvalues of the two-dimensional Dirichlet Laplacian in the regions {(x, y):¦x¦μ · ¦y¦ ⩽ 1, μ > 0} are easily recovered. An example of a horn-shaped region in R2 where that asymptotics is exponential is given." @default.
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- W2058529503 date "1984-09-01" @default.
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- W2058529503 title "On the spectrum of the Dirichlet Laplacian for horn-shaped regions in Rn with infinite volume" @default.
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- W2058529503 doi "https://doi.org/10.1016/0022-1236(84)90036-3" @default.
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