Author(s)

Ashish Pathak¹, Prabhat Yadav², Madan Mohan Dixit^2*

¹Department of Mathematics & Statistics, Dr. Harisingh Gour Central University, Sagar, India.
²Department of Mathematics, North Eastern Regional Institute of Science and Technology (NERIST), Nirjuli, India.

In the present paper, we obtain asymptotic expansion of the wavelet transform for large value of dilation parameter a by using López technique. Asymptotic expansion of Shannon wavelet, Morlet wavelet and Mexican Hat wavelet transform are obtained as special cases.

Asymptotic Expansion, Wavelet Transform, Mellin Convolution, Integral Transform

Pathak, A. , Yadav, P. and Dixit, M. (2015) Asymptotic Expansion of Wavelet Transform. Advances in Pure Mathematics, 5, 21-26. doi: 10.4236/apm.2015.51002.