Analysis of framelet transforms on a simplex

Yu Guang Wang, Houying Zhu

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper, we construct framelets associated with a sequence of quadrature rules on the simplex T2 in ℝ2. We give the framelet transforms- decomposition and reconstruction of the coefficients for framelets of a function on T2. We prove that the reconstruction is exact when the framelets are tight. We give an example of construction of framelets and show that the framelet transforms can be computed as fast as FFT.

Original languageEnglish
Title of host publicationContemporary computational mathematics - a celebration of the 80th birthday of Ian Sloan
EditorsJosef Dick, Frances Y. Kuo, Henryk Woźniakowski
Place of PublicationCham
PublisherSpringer, Springer Nature
Pages1175-1189
Number of pages15
ISBN (Electronic)9783319724560
ISBN (Print)9783319724553
DOIs
Publication statusPublished - 2018
Externally publishedYes

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