On the phi and psi transforms of Frazier and Jawerth
H.-Q. Bui and M. Paluszynski
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Abstract
In this article we study the phi and psi tranforms of Frazier and Jawerth when either phi or psi is not band–limited. Our main result concerns the invertibility of these transforms and is used to show that certain affine system generated by the Mexican hat function is complete in Lebesgue and Hardy spaces.
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