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Periodic Orthonormal Spline Systems with Arbitrary Knots as Bases in \(\boldsymbol{H}^{\mathbf{1}}\boldsymbol{(\mathbb{T})}\)

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Abstract

We give a simple geometric characterization of sequences of knots for which the corresponding periodic orthonormal spline system of order \(k\) is a basis in the atomic Hardy space on the torus \(\mathbb{T}\).

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Funding

The second author was supported by the Science Committee of RA, in the frames of the research project no. 21T-1A055.

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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    L. Hakobyan & K. Keryan

  2. University of Southern California, Los Angeles, CA, USA

    L. Hakobyan

Authors
  1. L. Hakobyan
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  2. K. Keryan
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Correspondence to L. Hakobyan or K. Keryan.

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The authors declare that they have no conflicts of interest.

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Hakobyan, L., Keryan, K. Periodic Orthonormal Spline Systems with Arbitrary Knots as Bases in \(\boldsymbol{H}^{\mathbf{1}}\boldsymbol{(\mathbb{T})}\). J. Contemp. Mathemat. Anal. 58, 33–42 (2023). https://doi.org/10.3103/S106836232301003X

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  • DOI: https://doi.org/10.3103/S106836232301003X

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