Spectrum of the Laplacian and Riesz transform on locally symmetric spaces
نویسندگان
چکیده
منابع مشابه
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Let X be a symmetric space of non-compact type and Γ\X a locally symmetric space. Then the bottom spectrum λ1(Γ\X) satisfies the inequality λ1(Γ\X) ≤ λ1(X). We show that if equality λ1(Γ\X) = λ1(X) holds, then Γ\X has either one end, which is necessarily of infinite volume, or two ends, one of infinite volume and another of finite volume. In the latter case, Γ\X is isometric to R1 ×N endowed wi...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2009
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2008.04.005