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Unconditionality of orthogonal spline systems in $H^1$

Functional Analysis 2015-03-18 v3

Abstract

We give a simple geometric characterization of knot sequences for which the corresponding orthonormal spline system of arbitrary order kk is an unconditional basis in the atomic Hardy space H1[0,1]H^1[0,1].

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Cite

@article{arxiv.1404.5493,
  title  = {Unconditionality of orthogonal spline systems in $H^1$},
  author = {Gegham Gevorkyan and Anna Kamont and Karen Keryan and Markus Passenbrunner},
  journal= {arXiv preprint arXiv:1404.5493},
  year   = {2015}
}

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30 pages