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Eigenvalues and eigenfunctions of the fractional Laplacian on the interval

Zhang, Cheng
arXiv (All) · Papers
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classical-analysis-and-odesmathematical-physicsnumerical-analysisspectral-theory
We prove a three-term asymptotic formula for the eigenvalues of the fractional Laplacian on the bounded interval $(-1,1)$. This improves the eigenvalue asymptotics of Kulczycki--Kwaśnicki--Małecki--Stós and Kwaśnicki, and confirms the conjectural $O_α(n^{-2})$ remainder suggested by the numerical si
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