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Title: Uncertainty products of local periodic wavelets
Authors: Goh, S.S. 
Yeo, C.H.
Keywords: Periodic weighted convolutions
Scaling functions
Uncertainty products
Uniformly local
Uniformly regular and uniformly stable functions
Issue Date: 2000
Citation: Goh, S.S.,Yeo, C.H. (2000). Uncertainty products of local periodic wavelets. Advances in Computational Mathematics 13 (3) : 319-333. ScholarBank@NUS Repository.
Abstract: This paper is on the angle-frequency localization of periodic scaling functions and wavelets. It is shown that the uncertainty products of uniformly local, uniformly regular and uniformly stable scaling functions and wavelets are uniformly bounded from above by a constant. Results for the construction of such scaling functions and wavelets are also obtained. As an illustration, scaling functions and wavelets associated with a family of generalized periodic splines are studied. This family is generated by periodic weighted convolutions, and it includes the well-known periodic B-splines and trigonometric B-splines. © J.C. Baltzer AG, Science Publishers.
Source Title: Advances in Computational Mathematics
ISSN: 10197168
Appears in Collections:Staff Publications

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