Inversion of k-Plane Transforms via Continuous Wavelet Transforms

The inversion formulae for k-plane transforms of functions fgL p Rn. are obtained in terms of continuous wavelet transforms generated by a wavelet measure. The admissibility conditions for a wavelet measure m are formulated in terms of the Fourier transform of m and without using the Fourier transform. The investigation is based on the wavelet type representations of Riesz fractional derivatives