Phase unwinding, or invariant subspace decompositions of Hardy spaces
Classical Analysis and ODEs
2018-05-10 v2
Abstract
We consider orthogonal decompositions of invariant subspaces of Hardy spaces, these relate to the Blaschke based phase unwinding decompositions. We prove convergence in Lp. In particular we build an explicit multiscale wavelet basis. We also obtain an explicit unwindinig decomposition for the singular inner function, exp 2i\pi/x.
Keywords
Cite
@article{arxiv.1707.04844,
title = {Phase unwinding, or invariant subspace decompositions of Hardy spaces},
author = {Ronald R. Coifman and Jacques Peyrière},
journal= {arXiv preprint arXiv:1707.04844},
year = {2018}
}
Comments
12 pages