Unconditionality of periodic orthonormal spline systems in Lp

Markus Passenbrunner, Karen Keryan

Research output: Contribution to journalArticlepeer-review

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
DOIs
Publication statusPublished - 2019

Fields of science

  • 101002 Analysis
  • 101032 Functional analysis

JKU Focus areas

  • Digital Transformation

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