An asymptotic expansion of continuous Wavelet transform for large dilation parameter

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

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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
Published
2018-07-01
Section
Articles