Pointwise Convergence Of A Class Of Non-Orthogonal Wavelet Expansions
Non-orthogonal wavelets; Pointwise convergence; Shannon's wavelet; Wavelet expansions
Non-orthogonal wavelet expansions associated with a class of mother wavelets is considered. This class of wavelets comprises mother wavelets that are not necessarily integrable over the whole real line, such as Shannon's wavelet. The pointwise convergence of these wavelet expansions is investigated. It is shown that, unlike other wavelet expansions, the ones under consideration do not necessarily converge pointwise to the functions at points of continuity, unless a more stringent condition, such as bounded variation, is imposed. © 2000 American Mathematical Society.
Proceedings of the American Mathematical Society
Number of Pages
Source API URL
Zayed, Ahmed I., "Pointwise Convergence Of A Class Of Non-Orthogonal Wavelet Expansions" (2000). Scopus Export 2000s. 967.