Title
Pointwise convergence of a class of non-orthogonal wavelet expansions
Abbreviated Journal Title
Proc. Amer. Math. Soc.
Keywords
non-orthogonal wavelets; Shannon's wavelet; wavelet expansions; pointwise convergence; Mathematics, Applied; Mathematics
Abstract
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.
Journal Title
Proceedings of the American Mathematical Society
Volume
128
Issue/Number
12
Publication Date
1-1-2000
Document Type
Article
Language
English
First Page
3629
Last Page
3637
WOS Identifier
ISSN
0002-9939
Recommended Citation
"Pointwise convergence of a class of non-orthogonal wavelet expansions" (2000). Faculty Bibliography 2000s. 2876.
https://stars.library.ucf.edu/facultybib2000/2876