On the two-wavelet localization operators on homogeneous spaces with relatively invariant measures
نویسندگان
چکیده مقاله:
In the present paper, we introduce the two-wavelet localization operator for the square integrable representation of a homogeneous space with respect to a relatively invariant measure. We show that it is a bounded linear operator. We investigate some properties of the two-wavelet localization operator and show that it is a compact operator and is contained in a Schatten $p$-class.
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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F. ESMAEELZADEH∗,‡, R. A. KAMYABI GOL†,§ and R. RAISI TOUSI∗,¶ ∗Department of Pure Mathematics, Ferdowsi University of Mashhad P. O. Box 1159-91775, Mashhad, Iran †Department of Pure Mathematics, Ferdowsi University of Mashhad and Center of Excellence in Analysis on Algebraic Structures (CEAAS) P. O. Box 1159-91775, Mashhad, Iran ‡[email protected] §[email protected] ¶raisi...
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عنوان ژورنال
دوره 4 شماره 2
صفحات 1- 12
تاریخ انتشار 2017-12-01
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