Localized polynomial frames on the ball

Details Localized polynomial frames on the ball Localized polynomial frames on the ball

2006-11-06

arxiv.org/abs/math/0611145v1

Mathematics

Classical Analysis and ODEs

26 pages

Scientific paper

Almost exponentially localized polynomial kernels are constructed on the unit ball $B^d$ in $\RR^d$ with weights %functions $W_\mu(x)= (1-|x|^2)^{\mu-1/2}$, $\mu \ge 0$, by smoothing out the coefficients of the corresponding orthogonal projectors. These kernels are utilized to the design of cubature formulae on $B^d$ with respect to $W_\mu(x)$ and to the construction of polynomial tight frames in $L^2(B^d, W_\mu)$ (called needlets) whose elements have nearly exponential localization.

Affiliated with

Also associated with

No associations

Rating

Localized polynomial frames on the ball 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 Localized polynomial frames on the ball, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localized polynomial frames on the ball will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297496