Abelian Theorems for Quadratic-Phase Fourier Wavelet Transform

摘要

In this paper, we establish the Abelian theorems, which characterize the behaviour of the quadratic-phase Fourier wavelet transform (QPFWT) (W-psi (Omega a,b,c,d,e) f) (beta, alpha) as alpha -> infinity to the behaviour to determine the function and tempered distribution (f) over cap(omega) as omega -> 0. These results are mentioned as initial and final value Abelian theorems. Some results on asymptotic orders of QPFWT are also investigated.