Unconditionality of Periodic Orthonormal Spline Systems in H1(T): Necessity

被引：0
|
作者：
Hakobyan, L. [1 ,2 ]
机构：
[1] Natl Acad Sci Republ Armenia, Inst Math, Yerevan, Armenia
[2] Univ Southern Calif, Los Angeles, CA 90007 USA
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2024年 / 59卷 / 04期
关键词：
orthonormal spline system; periodic spline system; unconditional basis; GENERAL FRANKLIN SYSTEMS; SPACES; KNOTS;
D O I：
10.3103/S1068362324700183
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a geometric characterization of knot sequences(s(n)), which is a necessary condition for the corresponding periodic orthonormal spline system of arbitrary order k,k is an element of N, to be an unconditional basis in the atomic Hardy space on the torus H-1(T).
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页码：245 / 261
页数：17
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