Asymptotic Expansions of the Wavelet Transform in R n
R. S. Pathak · Journal of the Indian Mathematical Society · 2015
Moment asymptotic expansions of the n-dimensional wavelet transform are obtained for large values of the dilation parameter a. Using representation of the n-dimensional wavelet transform as a 2n-dimensional Fourier transform asymptotic expansion of the wavelet transform with explicit error bound is also obtained. Results are illustrated by means of suitable examples.