Asymptotic Expansions of the Wavelet Transform for Large and Small Values of b. (18th October 2009)

• Record Type: Journal Article
• Authors: Pathak, R. S.; Pathak, Ashish
• Other Names: Zayed A. Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2009(2009)
• Publication Date: 2009-10-18
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2009/270492
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : Asymptotic expansions of the wavelet transform for large and small values of the translation parameter b are obtained using asymptotic expansions of the Fourier transforms of the function and the wavelet. Asymptotic expansions of Mexican hat wavelet transform, Morlet wavelet transform, and Haar wavelet transform are obtained as special cases. Asymptotic expansion of the wavelet transform has also been obtained for small values of b when asymptotic expansions of the function and the wavelet near origin are given.