Unconditional bases for homogeneous $\alpha$-modulation type spaces
Functional Analysis
2020-11-30 v1
Abstract
In this article we construct orthonormal bases compatible with bi-variate homogeneous -modulation spaces and the associated spaces of Triebel-Lizorkin type. The construction is based on generating a separable -covering and using carefully selected tensor products of univariate brushlet functions with regards to this covering. We show that the associated systems form an unconditional bases for the homogeneous -spaces of Triebel-Lizorkin type.
Cite
@article{arxiv.2011.13697,
title = {Unconditional bases for homogeneous $\alpha$-modulation type spaces},
author = {Morten Nielsen},
journal= {arXiv preprint arXiv:2011.13697},
year = {2020}
}