The index theorem of regular variation and its applications
نویسندگان
چکیده
We develop further the topological theory of regular variation of [BOst13]. There we established the uniform convergence theorem (UCT) in the setting of topological dynamics (i.e. with a group T acting on a homogenous space X), thereby unifying and extending the multivariate regular variation literature. Here, working with realtime topological ows on homogeneous spaces, we identify an index of regular variation, which in a normed-vector space context may be speci ed using the Riesz representation theorem, and in a locally compact group setting may be connected with Haar measure. Classi cation: 26A03
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