Approximation orders of shift-invariant subspaces of $W^s_2({\Bbb R}^d)$

Details Approximation orders of shift-invariant subspaces of $W^s_2({\Bbb R}^d)$ Approximation orders of shift-invariant subspaces of $W^s_2({\Bbb R}^d)$

2005-12-27

arxiv.org/abs/math/0512609v1

Journal of Approximation Theory, 132/1 (2005), 97-148

Mathematics

Classical Analysis and ODEs

49 pages

Scientific paper

10.1016/j.jat.2004.10.006

We extend the existing theory of approximation orders provided by
shift-invariant subspaces of $L_2$ to the setting of Sobolev spaces, provide
treatment of $L_2$ cases that have not been covered before, and apply our
results to determine approximation order of solutions to a refinement equation
with a higher-dimensional solution space.

Affiliated with

Also associated with

No associations

Rating

Approximation orders of shift-invariant subspaces of $W^s_2({\Bbb R}^d)$ 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 Approximation orders of shift-invariant subspaces of $W^s_2({\Bbb R}^d)$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Approximation orders of shift-invariant subspaces of $W^s_2({\Bbb R}^d)$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-669218