## Abstract Specific wavelet functions, related to the Bessel functions, for the continuous wavelet transform in higher dimension, are constructed in the framework of Clifford analysis. Copyright © 2002 John Wiley & Sons, Ltd.
Clifford-hermite wavelets in euclidean space
✍ Scribed by F. Brackx; F. Sommen
- Book ID
- 110544190
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2000
- Tongue
- English
- Weight
- 485 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1069-5869
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Clifford analysis is a higher‐dimensional function theory offering a refinement of classical harmonic analysis, which has proven to be an appropriate framework for developing higher‐dimensional continuous wavelet transforms, the construction of the wavelets being based on generalization
Let 0 < r R and A be a subset of the n-dimensional Euclidean space E n , which is contained in B(x 0 , R) and contains points x 0 , x 0 + re 1 , . . . , x 0 + re n , where the vectors {e i } n i=1 are orthonormal. We show that if f : A → E n is an -isometry, then there is an affine isometry U such t