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Dixit, M. M.
- An Asymptotic Expansion of Continuous Wavelet Transform for Small Dilation Parameter
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Authors
Affiliations
1 Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi - 221005, IN
2 Department of Mathematics, NERIST, Nirjuli - 791109, IN
1 Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi - 221005, IN
2 Department of Mathematics, NERIST, Nirjuli - 791109, IN
Source
The Journal of the Indian Mathematical Society, Vol 89, No 1-2 (2022), Pagination: 134–144Abstract
In this paper, we derive asymptotic expansion of the wavelet transform for small values of the dilation parameter a by using Lopez and Pagola technique. Asymptotic expansion of Morlet wavelet, Mexican Hat wavelet and Haar wavelet transform are obtained as a special cases.
Keywords
Asymptotic expansion, Wavelet transform, Fourier transform, Mellin transform.References
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