Unconditionality of orthogonal spline systems in $L^p$

Abstract

Given any natural number $k$ and any dense point sequence $(t_n)$, we prove that the corresponding orthonormal spline system of order $k$ is an unconditional basis in reflexive $L^p$.

arXiv comment35 pages

References in corpus (2)

• On almost everywhere convergence of orthogonal spline projections with arbitrary knots
• Unconditionality of orthogonal spline systems in $L^p$

Cited by in corpus (7)

• On almost everywhere convergence of orthogonal spline projections with arbitrary knots
• Unconditionality of orthogonal spline systems in $L^p$
• Unconditionality of Periodic Orthonormal Spline Systems in $L^p$
• Pointwise estimates for B-spline Gram matrix inverses
• Projection operators onto spaces of Chebyshev splines
• Martingale inequalities for spline sequences
• Orthoprojectors on perturbations of splines spaces