Poisson kernels and sparse wavelet expansions
Copyright policy )Poisson kernels and sparse wavelet expansions
We give a new characterization of a family of homogeneous Besov spaces by means of atomic decompositions involving poorly localized building blocks. Our main tool is an algorithm for expanding a wavelet into a series of dilated and translated Poisson kernels.
- Claude Bernard University Lyon 1 France
- Camille Jordan Institute France
- University of Lyon System France
Besov spaces, Integral transforms in distribution spaces, tempered distribution, Nontrigonometric harmonic analysis involving wavelets and other special systems, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, wavelet expansions, nonlinear approximation
Besov spaces, Integral transforms in distribution spaces, tempered distribution, Nontrigonometric harmonic analysis involving wavelets and other special systems, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, wavelet expansions, nonlinear approximation
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!