Rearrangements of the Haar system

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1974 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 15, pages 35-39 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Krancberg, A. S.;

doi: 10.1007/bf01153542

Rearrangements of the Haar system

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Abstract

It is proved that any fixed rearrangement of the Haar system either is or is not a system of convergence almost everywhere simultaneously for all classes Lp[0, 1] (1 ≤ p ≤ ∞).

Keywords

General harmonic expansions, frames, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis

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