Real Analysis Exchange
- Real Anal. Exchange
- Volume 37, Number 1 (2011), 147-166.
Variation-Diminishing Wavelets and Wavelet Transforms
Using Schoenberg's theory of variation-diminishing integral operators of convolution type variation diminishing wavelets and wavelets of specific changes in sign are constructed. An inversion formula involving derivatives of the wavelet transform is established. Wavelets generated by Tanno's form of convolution kernels and \(H\)-functions are also investigated. Results are illustrated by means of examples and figures.
Real Anal. Exchange, Volume 37, Number 1 (2011), 147-166.
First available in Project Euclid: 30 April 2012
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Pathak, R. S. Variation-Diminishing Wavelets and Wavelet Transforms. Real Anal. Exchange 37 (2011), no. 1, 147--166. https://projecteuclid.org/euclid.rae/1335806768