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Systems biorthogonal to exponential systems on a finite union of intervals

Complex Variables 2022-07-28 v1

Abstract

We study the properties of a system biorthogonal to a complete and minimal system of exponentials in L2(E)L^2(E), where EE is a finite union of intervals, and show that in the case when EE is a union of two or three intervals the biorthogonal system is also complete.

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Cite

@article{arxiv.2207.13336,
  title  = {Systems biorthogonal to exponential systems on a finite union of intervals},
  author = {Anton Baranov and Yurii Belov and Alexander Kuznetsov},
  journal= {arXiv preprint arXiv:2207.13336},
  year   = {2022}
}

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15 pages