Radial multiresolution in dimension three

Details Radial multiresolution in dimension three Radial multiresolution in dimension three

2003-09-22

arxiv.org/abs/math/0309362v2

Mathematics

Functional Analysis

23 pages

Scientific paper

We present a construction of a wavelet-type orthonormal basis for the space of radial $L^2$-functions in $\R^3$ via the concept of a radial multiresolution analysis. The elements of the basis are obtained from a single radial wavelet by usual dilations and generalized translations. Hereby the generalized translation reveals the group convolution of radial functions in $\R^3$. We provide a simple way to construct a radial scaling function and a radial wavelet from an even classical scaling function on $\R$. Furthermore, decomposition and reconstruction algorithms are formulated.

Affiliated with

Also associated with

No associations

Rating

Radial multiresolution in dimension three does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Radial multiresolution in dimension three, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Radial multiresolution in dimension three will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-161350