A class of r -regular multiwavelets is introduced with appropriate notation and definitions in H Ο W (R n ). The oscillation properity of the orthonormal system is obtained. A multiresolution analysis for multiwavelets is defined in H Ο W (R n ). Orthonormality conditions for multiscaling functions
Wavelets in a generalized Sobolev space
β Scribed by R.S. Pathak
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 648 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
The generalized Sobolev space H~(R ~) is defined as a generalization of the usual Sobolev space H~(I:t~). A multiresolution analysis for the generalized Sobolev space is developed. Wavelets orthogonal with respect to this space are constructed. Some interesting special cases are discussed. @
π SIMILAR VOLUMES
We present a construction of regular compactly supported wavelets in any Sobolev space of integer order. It is based on the existence and suitable estimates of filters defined from polynomial equations. We give an implicit study of these filters and use the results obtained to construct scaling func
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