K. Keryan

activity

20142020

most citedUnconditionality of Periodic Orthonormal Spline Systems in

L^{p}

5 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2020

Orthoprojectors on perturbations of splines spaces

Karen Keryan, Markus Passenbrunner

We show that $L^{\infty}$ -norms of orthoprojectors on certain types of perturbations of spline spaces are bounded independently of the knot sequence. Explicit applications of this re…

math.FA2018

Projection operators onto spaces of Chebyshev splines

Karen Keryan, Markus Passenbrunner

We prove that the Chebyshev spline orthoprojectors are uniformly bounded on $L^{\infty}$ .

math.FA2017★ 5 cited

Unconditionality of Periodic Orthonormal Spline Systems in $L^{p}$

K. Keryan, M. Passenbrunner

Given any natural number $k$ and any dense point sequence $(t_{n})$ on the torus $T$ , we prove that the corresponding periodic orthonormal spline system of order $k$ is an un…

math.FA2014★ 1 cited

Unconditionality of orthogonal spline systems in $H^{1}$

Gegham Gevorkyan, Anna Kamont, Karen Keryan +1

We give a simple geometric characterization of knot sequences for which the corresponding orthonormal spline system of arbitrary order $k$ is an unconditional basis in the atomic H…

Orthoprojectors on perturbations of splines spaces

Projection operators onto spaces of Chebyshev splines

Unconditionality of Periodic Orthonormal Spline Systems in Lp

Unconditionality of orthogonal spline systems in H1

Unconditionality of Periodic Orthonormal Spline Systems in $L^{p}$

Unconditionality of orthogonal spline systems in $H^{1}$