Wavelet-like bases defined on a discrete set of points
Zhi Shi · Journal of Xi'an University of Architecture & Technology · 2002
The Daubechies wavelet bases and the multi wavelet base lie in the space of square integrable function L 2(R)or L 2(R n). An analogue of the multi wavelet bases which lie in the space of functions defined on a discrete set of points {x 1,...,x n}×{y 1,...,y n}R 2 is taken into account. The structure of this analogue is essentially similar to that of the multi wavelet bases, but the construction is more convenient when the representation of a function and its related operators are based on its values at {x 1,...,x n}×{y 1,...,y n}R 2 . Such representation in finite difference computation and some integral equations proved to be more useful.