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• W2117501482 abstract "In this paper, we construct a class of compactly supported wavelets by taking trigonometric B-splines as the scaling function. The duals of these wavelets are also constructed. With the help of these duals, we show that the collection of dilations and translations of such a wavelet forms a Riesz basis of 𝕃 2 (ℝ). Moreover, when a particular differential operator is applied to the wavelet, it also generates a Riesz basis for a particular generalized Sobolev space. Most of the proofs are based on three assumptions which are mild generalizations of three important lemmas of Jia et al. [Compactly supported wavelet bases for Sobolev spaces, Appl. Comput. Harmon. Anal. 15 (2003) 224–241]." @default.
• W2117501482 created "2016-06-24" @default.
• W2117501482 creator A5052287399 @default.
• W2117501482 date "2015-04-28" @default.
• W2117501482 modified "2023-09-25" @default.
• W2117501482 title "Riesz basis of wavelets constructed from trigonometric B-splines" @default.
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• W2117501482 doi "https://doi.org/10.1142/s0219530514500432" @default.
• W2117501482 hasPublicationYear "2015" @default.
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