Convergence and divergence of wavelet series: multifractal aspects

DOI10.1112/PLMS.12239zbMath1428.42066arXiv1801.06336OpenAlexW3104449082MaRDI QIDQ5237378

Frederic Bayart

Publication date: 17 October 2019

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06336

zbMATH Keywords

Sobolev spaceBesov spacemultiresolution analysisHausdorff dimensionpacking dimensionpointwise convergencewavelet expansionsreconstruction operatorpointwise divergenceorthonormal wavelets with compact supports

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convergence and divergence of series and sequences of functions (40A30)

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