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LOCALIZATION OPERATORS ON THE AFFINE GROUP AND PARACOMMUTATORS

    This research has been partially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) OGP0008562.

    https://doi.org/10.1142/9789812794253_0075Cited by:21 (Source: Crossref)
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    Abstract:

    We show that on the affine group U = {(b, a) : b ∈ ℝ, a > 0}, localization operators associated to admissible wavelets and separable symbols are paracommutators. We show that if the symbol is a function of b only, then the localization operator can be expressed in terms of a paraproduct; and if the symbol is a function of a only, then the localization operator is a Fourier multiplier.

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