منابع مشابه
Gaussian Weighted Unreduced L2 Cohomology of Locally Symmetric Spaces
Let (M, g) be a complete, noncompact Riemannian manifold of finite volume. For w : M → (0,∞) a weighting function, the w weighted unreduced L2 cohomology is defined as the usual unreduced L2 cohomology except that dvol is replaced by the measure w dvol. This paper proves that in the case M = Γ\G/K is a locally symmetric space of nonpositive sectional curvature and arbitrary rank whereupon w(m) ...
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In [4], D. Osipov and A. Parshin developed an approach to harmonic analysis on higher dimensional local fields through categories of filtered vector spaces as in [3]. In the present paper we give a variant of this approach that behaves nicely for inductive arguments. We establish Pontryagin duality, the Fourier inversion formula, and a Plancherel formula for all dimensions. ∗This paper was writ...
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ژورنال
عنوان ژورنال: Annales Scientifiques de l’École Normale Supérieure
سال: 1998
ISSN: 0012-9593
DOI: 10.1016/s0012-9593(98)80015-3