Vanishing Moments of Wavelets on p-adic Fields: Vanishing Moments of Wavelets...: N. Athira, M. C. Lineesh.

A study on the vanishing moments of wavelets on p-adic fields is carried out in this paper. The p-vanishing moments and discrete p-vanishing moments are defined on a p-adic field and the relation between them is investigated. The p-vanishing moments of Haar-type and non-Haar type wavelet functions are computed. Also, the connection between p-vanishing moment of non-Haar type wavelet functions and the approximation order of the indicator function of the compact open subgroup B 0 (0) of Q p are established. A characterization of the p-vanishing moments of nonorthogonal wavelets is done. [ABSTRACT FROM AUTHOR]