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- W2046248663 abstract "The standard eigenfunctions $phi_lambda=e^{ilanglelambda,xrangle}$ on flat tori $mathbb {R}^n/L$ have $L^infty$-norms bounded independently of the eigenvalue. In the case of irrational flat tori, it follows that $L^2$-normalized eigenfunctions have uniformly bounded $^infty$-norms. Similar bases exist on other flat manifolds. Does this property characterize flat manifolds? We give an affirmative answer for compact Riemannian manifolds with quantum completely integrable Laplacians." @default.
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- W2046248663 date "2002-01-15" @default.
- W2046248663 modified "2023-09-25" @default.
- W2046248663 title "Riemannian manifolds with uniformly bounded eigenfunctions" @default.
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