A mean-value theorem for some eigenfunctions of the Laplace-Beltrami operator on the upper-half space
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of L2-normalized Eigenfunctions of the Laplace-beltrami Operator on a Closed Riemannian Manifold
Let e(x, y, λ) be the spectral function and χλ the unit band spectral projection operator, with respect to the LaplaceBeltrami operator ∆M on a closed Riemannian manifold M . We firstly review the one-term asymptotic formula of e(x, x, λ) as λ → ∞ by Hörmander (1968) and the one of ∂ x ∂ β y e(x, y, λ)|x=y as λ → ∞ in a geodesic normal coordinate chart by the author (2004) and the sharp asympto...
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2011
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2011.3606