General Franklin systems as bases in H¹[0,1]

Gegham G. Gevorkyan, and Anna Kamont. "General Franklin systems as bases in H¹[0,1]." Studia Mathematica 167.3 (2005): 259-292. <http://eudml.org/doc/284409>.

@article{GeghamG2005,
abstract = {By a general Franklin system corresponding to a dense sequence of knots 𝓣 = (tₙ, n ≥ 0) in [0,1] we mean a sequence of orthonormal piecewise linear functions with knots 𝓣, that is, the nth function of the system has knots t₀, ..., tₙ. The main result of this paper is a characterization of sequences 𝓣 for which the corresponding general Franklin system is a basis or an unconditional basis in H¹[0,1].},
author = {Gegham G. Gevorkyan, Anna Kamont},
journal = {Studia Mathematica},
keywords = {general Franklin system; basis; unconditional basis; space},
language = {eng},
number = {3},
pages = {259-292},
title = {General Franklin systems as bases in H¹[0,1]},
url = {http://eudml.org/doc/284409},
volume = {167},
year = {2005},
}

TY - JOUR
AU - Gegham G. Gevorkyan
AU - Anna Kamont
TI - General Franklin systems as bases in H¹[0,1]
JO - Studia Mathematica
PY - 2005
VL - 167
IS - 3
SP - 259
EP - 292
AB - By a general Franklin system corresponding to a dense sequence of knots 𝓣 = (tₙ, n ≥ 0) in [0,1] we mean a sequence of orthonormal piecewise linear functions with knots 𝓣, that is, the nth function of the system has knots t₀, ..., tₙ. The main result of this paper is a characterization of sequences 𝓣 for which the corresponding general Franklin system is a basis or an unconditional basis in H¹[0,1].
LA - eng
KW - general Franklin system; basis; unconditional basis; space
UR - http://eudml.org/doc/284409
ER -