Cardinal Interpolation with Gaussian Kernels

Details Cardinal Interpolation with Gaussian Kernels Cardinal Interpolation with Gaussian Kernels

2010-08-18

arxiv.org/abs/1008.3168v1

Mathematics

Classical Analysis and ODEs

18 pages

Scientific paper

In this paper, interpolation by scaled multi-integer translates of Gaussian kernels is studied. The main result establishes $L_p$ Sobolev error estimates and shows that the error is controlled by the $L_p$ multiplier norm of a Fourier multiplier closely related to the cardinal interpolant, and comparable to the Hilbert transform. Consequently, its multiplier norm is bounded independent of the grid spacing when $1

Affiliated with

Also associated with

No associations

Rating

Cardinal Interpolation with Gaussian Kernels 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 Cardinal Interpolation with Gaussian Kernels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cardinal Interpolation with Gaussian Kernels will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-134336