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Some Smooth Compactly Supported Tight Framelets

Communications in Mathematics and Applications, 2012-01, Vol.3 (3), p.345

2012. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;ISSN: 0976-5905 ;EISSN: 0975-8607 ;DOI: 10.26713/cma.v3i3.217

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  • Title:
    Some Smooth Compactly Supported Tight Framelets
  • Author: A. San Antolí­n ; Zalik, R A
  • Subjects: Smoothness
  • Is Part Of: Communications in Mathematics and Applications, 2012-01, Vol.3 (3), p.345
  • Description: For any dilation matrix with integer entries, we construct a family of smooth compactly supported tight wavelet frames in $L^2(\mathbb{R}^d)$, $d\ge 1$. Estimates for the degrees of smoothness of these framelets are given. Our construction involves some compactly supported refinable functions, the Oblique Extension Principle and a slight generalization of a theorem of Lai and Stöckler.
  • Publisher: Kingsville: RGN Publications
  • Language: English
  • Identifier: ISSN: 0976-5905
    EISSN: 0975-8607
    DOI: 10.26713/cma.v3i3.217
  • Source: ProQuest Central
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