Compactly supported reproducing kernels for $L^2$-based Sobolev spaces and Hankel-Schoenberg transforms
Classical Analysis and ODEs
2017-02-21 v1
Abstract
We exhibit three classes of compactly supported functions which provide reproducing kernels for the Sobolev spaces of arbitrary order Our method of construction is based on a new class of oscillatory integral transforms that incorporate radial Fourier transforms and Hankel transforms.
Cite
@article{arxiv.1702.05896,
title = {Compactly supported reproducing kernels for $L^2$-based Sobolev spaces and Hankel-Schoenberg transforms},
author = {Yong-Kum Cho},
journal= {arXiv preprint arXiv:1702.05896},
year = {2017}
}