Author

Cheng Zhang

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Preprint Aug 2026

Eigenvalues and eigenfunctions of the fractional Laplacian on the interval

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--Kwa\'snicki--Ma{\l}ecki--St\'os and Kwa\'snicki, and confirms the conjectural $O_\alpha(n^{-2})$ remainder suggested by the numerical simulati...

Cheng Zhang · 0 citations

Preprint Aug 2026

Eigenvalue asymptotics and uniform eigenfunction bounds for the fractional Laplacian in the interval

We prove a three-term asymptotic formula for the eigenvalues of the fractional Laplacian in the bounded interval. This improves the eigenvalue asymptotics of Kulczycki--Kwa\'snicki--Ma{\l}ecki--St\'os and Kwa\'snicki, and confirms the conjectural $O_\alpha(n^{-2})$ remainder by the numerical simulations of Kaleta--Kwa\...

Cheng Zhang · 0 citations