On the two-wavelet localization operators on homogeneous spaces with relatively invariant measures
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Abstract:
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.
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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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Journal title
volume 4 issue 2
pages 1- 12
publication date 2017-12-01
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