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Good Modulating Sequences for the Ergodic Hilbert Transform

Dynamical Systems 2013-07-30 v1 Functional Analysis

Abstract

This article investigates classes of bounded sequences of complex numbers that are universally good for the ergodic Hilbert transform in L_p-spaces, 2\leq p\leq \infty : The class of bounded Besicovitch sequences satisfying a rate condition is among such sequence classes.

Keywords

Cite

@article{arxiv.1307.7655,
  title  = {Good Modulating Sequences for the Ergodic Hilbert Transform},
  author = {Azer Akhmedov and Dogan Comez},
  journal= {arXiv preprint arXiv:1307.7655},
  year   = {2013}
}

Comments

14 pages

R2 v1 2026-06-22T00:59:43.525Z