Wavelet--fractional Fourier transforms

This paper extends the definition of fractional Fourier transform (FRFT) proposed by Namias V by using other orthonormal bases for L^2\left( R \right) instead of Hermite--Gaussian functions. The new orthonormal basis is gained indirectly from multiresolution analysis and orthonormal wavelets. The so defined FRFT is called wavelets-fractional Fourier transform.