منابع مشابه
Properly discontinuous groups on certain matrix homogeneous spaces
We characterize discrete groups Γ ⊂ GL(n,R) which act properly discontinuously on the homogeneous space GL(m,R)\GL(n,R).
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Let G be a connected Lie group, F be a lattice in G and U = {ut},~R be a unipotent one-parameter subgroup of G, viz. Adu is a unipotent linear transformation for all u ~ U. Consider the flow induced by the action of U (on the left) on G/F. Such a flow is referred as a unipotent flow on the homogeneous space G/F. The study of orbits of unipotent flows has been the subject of several papers. For ...
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متن کاملLocalization operators on homogeneous spaces
Let $G$ be a locally compact group, $H$ be a compact subgroup of $G$ and $varpi$ be a representation of the homogeneous space $G/H$ on a Hilbert space $mathcal H$. For $psi in L^p(G/H), 1leq p leqinfty$, and an admissible wavelet $zeta$ for $varpi$, we define the localization operator $L_{psi,zeta} $ on $mathcal H$ and we show that it is a bounded operator. Moreover, we prove that the localizat...
متن کاملA remark on Remainders of homogeneous spaces in some compactifications
We prove that a remainder $Y$ of a non-locally compact rectifiable space $X$ is locally a $p$-space if and only if either $X$ is a Lindel"{o}f $p$-space or $X$ is $sigma$-compact, which improves two results by Arhangel'skii. We also show that if a non-locally compact rectifiable space $X$ that is locally paracompact has a remainder $Y$ which has locally a $G_{delta}$-diagonal, then...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1969
ISSN: 0040-8735
DOI: 10.2748/tmj/1178243030