The Calderón Reproducing Formula, Windowed X-Ray Transforms, and Radon Transforms in L...-Spaces.
Inversion of Exponential k-Plane Transforms.
Parabolic potentials and wavelet transforms with the generalized translation
Parabolic wavelet transforms associated with the singular heat operators and , where , are introduced. These transforms are defined in terms of the relevant generalized translation operator. An analogue of the Calderón reproducing formula is established. New inversion formulas are obtained for generalized parabolic potentials representing negative powers of the singular heat operators.
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