Unconditionality of periodic orthonormal spline systems in Lp

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    Abstract

    Given any natural number k and any dense point sequence (tn) on the torus T, we prove that the corresponding periodic orthonormal spline system of order k is an unconditional basis in Lp for 1<p<∞.
    Original languageEnglish
    Pages (from-to)57-91
    Number of pages35
    JournalStudia Mathematica
    Volume248
    Issue number1
    DOIs
    Publication statusPublished - 2019

    Fields of science

    • 101002 Analysis
    • 101032 Functional analysis

    JKU Focus areas

    • Digital Transformation

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