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Commuting differential operators of rank 2 with polynomial coefficients

Mathematical Physics 2023-04-27 v3 Classical Analysis and ODEs math.MP

Abstract

In this paper we study self-adjoint commuting ordinary differential operators with polynomial coefficients. These operators define commutative subalgebras of the first Weyl algebra. We find new examples of commuting operators of rank 2.

Keywords

Cite

@article{arxiv.1409.4058,
  title  = {Commuting differential operators of rank 2 with polynomial coefficients},
  author = {Vardan Oganesyan},
  journal= {arXiv preprint arXiv:1409.4058},
  year   = {2023}
}

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12 pages