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- W3170848048 abstract "We prove that the spectral structure on the $N$-dimensional standard sphere of radius $(N-1)^{1/2}$ compatible with a projection onto the first $n$-coordinates converges to the spectral structure on the $n$-dimensional Gaussian space with variance $1$ as $Nto infty$. We also show the analogue for the first Dirichlet eigenvalue and its eigenfunction on a ball in the sphere and on a half-space in the Gaussian space." @default.
- W3170848048 created "2021-06-22" @default.
- W3170848048 creator A5072445133 @default.
- W3170848048 date "2021-06-17" @default.
- W3170848048 modified "2023-09-26" @default.
- W3170848048 title "Spectral convergence of high-dimensional spheres to Gaussian spaces" @default.
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- W3170848048 doi "https://doi.org/10.48550/arxiv.2106.09452" @default.
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