The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Asymptotic Expansions of the Wavelet Transform in Rn


Affiliations
1 DST Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi 221005, India
     

   Subscribe/Renew Journal


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.

Keywords

Asymptotic Expansion, Wavelet Transform, Fourier Transform, Error Bound.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 238

PDF Views: 0




  • Asymptotic Expansions of the Wavelet Transform in Rn

Abstract Views: 238  |  PDF Views: 0

Authors

R. S. Pathak
DST Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi 221005, India

Abstract


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.

Keywords


Asymptotic Expansion, Wavelet Transform, Fourier Transform, Error Bound.