Year: 2007
Type: book-chapter
Abstract: In this paper we give an explicit construction of compactly supported prewavelets on differentiable, twodimensional, piecewise polynomial quadratic finite element spaces of L 2 (ℝ2), sampled on the hexagonal grid. The obtained prewavelet basis is stable in the Sobolev spaces \( \mathcal{H}^s \) for \( |s| < \tfrac{5} {2} \). In particular, the prewavelet basis is generated by one single function vector ψ consisting of three generating functions ψ 1,ψ 2,ψ 3 that are globally invariant by a rotation of 2π/3.
Source: Birkhäuser Basel eBooks
Authors: Jan Maes, Adhemar Bultheel
Institution: KU Leuven
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W60007399