Abstract
We prove in this chapter that a localization operator L F,φ : X → X associated to a function F in L p(G), 1 ≤ p ≤ ∞, and an admissible wavelet φ for an irreducible and square-integrable representation of a locally compact and Hausdorff group G on a Hilbert space X is in the Schatten-von Neumann class S p , 1 ≤ p ≤ ∞. When p = 1, the irreducibility of the representation π: G → U(X) can be dispensed with.
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© 2002 Springer Basel AG
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Wong, M.W. (2002). S p Norm Inequalities, 1 ≤ p ≤ ∞. In: Wavelet Transforms and Localization Operators. Operator Theory: Advances and Applications, vol 136. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8217-0_13
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DOI: https://doi.org/10.1007/978-3-0348-8217-0_13
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9478-4
Online ISBN: 978-3-0348-8217-0
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