Localization operators in the setting of homogeneous spaces are first defined in this chapter. They are then shown to be in the trace class S1 and a trace formula for them is given. Localization operators on locally compact and Hausdorff groups equipped with square-integrable representations, Daubechies operators and wavelet multipliers are then shown to be localization operators on homogeneous spaces. In this perspective, this chapter can be seen as a unification of the three classes of linear operators.
Unable to display preview. Download preview PDF.