An asymptotic expansion of continuous Wavelet transform for large dilation parameter

Authors

  • Ashish Pathak Banaras Hindu University
  • Prabhat Yadav NERIST
  • M. M. Dixit NERIST

DOI:

https://doi.org/10.5269/bspm.v36i3.31221

Keywords:

Asymptotic expansion, Wavelet transform, Fourier transform, Mellin transform

Abstract

In this paper , we derive asymptotic expansion of the wavelet transform for large values of the dilation parameter a by using Lopez and Pagola technique. Asymptotic expansion of Mexican Hat wavelet and Morlet wavelet transform are obtained as a special cases.

Author Biographies

  • Ashish Pathak, Banaras Hindu University

    Ashish Pathak

    Assistant Professor

    Department of Mathematics

    Institute of Sciences

    Banaras Hindu University

    Varanasi-221005, India.

    E-mail: pathak maths@yahoo.com

  • Prabhat Yadav, NERIST
    Department of Mathematics ; NERIST, Nirjuli- 791109, India
  • M. M. Dixit, NERIST
    Department of Mathematics ; NERIST, Nirjuli- 791109, India

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Published

2018-07-01

Issue

Section

Research Articles