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Unconditionality of Periodic Orthonormal Spline Systems in $$\boldsymbol{H}^{\mathbf{1}}{(\mathbb{T})}$$ : Necessity
Abstract
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 \(k\), \(k\in\mathbb{N}\), to be an unconditional basis in the atomic Hardy space on the torus \(H^{1}(\mathbb{T})\).
期刊介绍：
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) is an outlet for research stemming from the widely acclaimed Armenian school of theory of functions, this journal today continues the traditions of that school in the area of general analysis. A very prolific group of mathematicians in Yerevan contribute to this leading mathematics journal in the following fields: real and complex analysis; approximations; boundary value problems; integral and stochastic geometry; differential equations; probability; integral equations; algebra.
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