Unconditionality of orthogonal spline systems in L p

Markus Passenbrunner

Studia Mathematica (2014)

  • Volume: 222, Issue: 1, page 51-86
  • ISSN: 0039-3223

Abstract

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We prove that given any natural number k and any dense point sequence (tₙ), the corresponding orthonormal spline system is an unconditional basis in reflexive L p .

How to cite

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Markus Passenbrunner. "Unconditionality of orthogonal spline systems in $L^{p}$." Studia Mathematica 222.1 (2014): 51-86. <http://eudml.org/doc/286527>.

@article{MarkusPassenbrunner2014,
abstract = {We prove that given any natural number k and any dense point sequence (tₙ), the corresponding orthonormal spline system is an unconditional basis in reflexive $L^\{p\}$.},
author = {Markus Passenbrunner},
journal = {Studia Mathematica},
keywords = {orthonormal spline system; unconditional basis; },
language = {eng},
number = {1},
pages = {51-86},
title = {Unconditionality of orthogonal spline systems in $L^\{p\}$},
url = {http://eudml.org/doc/286527},
volume = {222},
year = {2014},
}

TY - JOUR
AU - Markus Passenbrunner
TI - Unconditionality of orthogonal spline systems in $L^{p}$
JO - Studia Mathematica
PY - 2014
VL - 222
IS - 1
SP - 51
EP - 86
AB - We prove that given any natural number k and any dense point sequence (tₙ), the corresponding orthonormal spline system is an unconditional basis in reflexive $L^{p}$.
LA - eng
KW - orthonormal spline system; unconditional basis;
UR - http://eudml.org/doc/286527
ER -

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