Abelian theorems involving the fractional wavelet transforms


H M Srivastava, Kush Kumar Mishra, S K Upadhyay




In this paper, the initial-value and the final-value Abelian theorems are presented for the continuous fractional wavelet transform of functions and distributions. An application of these Abelian theorems to the continuous fractional wavelet transforms is also investigated by using the Mexican hat wavelet function.