We construct compactly supported wavelet bases satisfying homogeneous boundary conditions on the interval [0, 1]. The maximum features of multiresolution analysis on the line are retained, including polynomial approximation and tree algorithms. The case of H 1 0 ([0, 1]) is detailed and numerical va
A Construction of Orthogonal Compactly Supported Multiwavelets on R2
β Scribed by Bruce Kessler
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 351 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1063-5203
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper will provide the general construction of the continuous, orthogonal, compactly supported multiwavelets associated with a class of continuous, orthogonal, compactly supported scaling functions that contain piecewise linears on a uniform triangulation of R 2 . This class of scaling functions is a generalization of a set of scaling functions first constructed by Donovan, Geronimo, and Hardin. A specific set of scaling functions and associated multiwavelets with symmetry properties will be constructed.
π SIMILAR VOLUMES
In this paper, a technique for the concrete construction of compactly supported 2 Ε½ n . biorthogonal wavelet bases of L R is given. This technique does not depend on the dimension n, and it gives rise to non-separable multidimensional wavelet bases. Of special interest is the study of the stability
## Abstract The reaction of aminobenzophenones (I) with benzylic amines (II) in the presence of a new heterogeneous catalyst based on CuO nanoparticles and tertβbutyl hydroperoxide as oxidant leads to the desired quinazolines (III) (28 examples) in moderate to high yields.