The Weil Representation over the Complex Numbers and Localization of Schwartz Spaces
نویسنده
چکیده
In this paper a strong form of the Stone-von Neumann property of the Heisenberg representation is stated and proved. Several results in harmonic analysis are obtained as a consequence.
منابع مشابه
Localization 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...
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