Continuous Wavelets and Frames on Stratified Lie Groups I
Functional Analysis
2007-05-23 v3 Spectral Theory
Abstract
Let G be a stratified Lie group and L be the sub-Laplacian on G. Let 0 \neq f\in S(R^+). We show that Lf(L)\delta, the distribution kernel of the operator Lf(L), is an admissible function on G. We also show that, if \xi f(\xi) satisfies Daubechies' criterion, then L f(L)\delta generates a frame for any sufficiently fine lattice subgroup of G.
Keywords
Cite
@article{arxiv.math/0602201,
title = {Continuous Wavelets and Frames on Stratified Lie Groups I},
author = {Daryl Geller and Azita Mayeli},
journal= {arXiv preprint arXiv:math/0602201},
year = {2007}
}
Comments
30 pages