The Journal of the Indian Mathematical Society

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Asymptotic Expansions of the Wavelet Transform in Rn


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

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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.
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  • Asymptotic Expansions of the Wavelet Transform in Rn

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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.