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.
|Title of host publication||Contemporary computational mathematics - a celebration of the 80th birthday of Ian Sloan|
|Editors||Josef Dick, Frances Y. Kuo, Henryk Woźniakowski|
|Place of Publication||Cham|
|Publisher||Springer, Springer Nature|
|Number of pages||15|
|Publication status||Published - 2018|