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We consider two classes of localization operators based on the Calderón and Gabor reproducing formulas and represent them in a uniform way as Toeplitz operators. We restrict our attention to the generating symbols depending on the first coordinate in the phase space. In this case, the Toeplitz localization operators (TLOs) exhibit an explicit diago...
There are several methods of interest in signal analysis and image processing. The most widely used are the wavelet transform, the short-time Fourier transform, the shearlet transform, and the Stockwell transform. Putting a filter in the corresponding reproducing formula, one gets the well-known Calderón-Toeplitz and Gabor-Toeplitz localization ope...
We consider two classes of localization operators based on the Calderón and Gabor reproducing formulas and represent them in a uniform way as Toeplitz operators. We restrict our attention to the generating symbols depending on the first coordinate in the phase space. In that case, the Toeplitz localization operators (TLOs) exhibit an explicit diago...
