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On Gevrais classes of certain self-adjoint differential operators with degeneration

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Ukrainian Mathematical Journal Aims and scope

Abstract

Classical spaces of ultradifferentiable functions on [−1,1] are compared with the Gevrais classes of a self-adjoint differential operator whose eigenfunctions are orthogonal Jacobi polynomials.

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References

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Authors and Affiliations

  1. Kiev Polytechnical Institute, Kiev

    I. G. Izvekov

  2. Sumy Pedagogical Institute, Sumy

    E. V. Martynenko

Authors
  1. I. G. Izvekov
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  2. E. V. Martynenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 12, pp. 1622–1626, 1993.

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Izvekov, I.G., Martynenko, E.V. On Gevrais classes of certain self-adjoint differential operators with degeneration. Ukr Math J 45, 1825–1831 (1993). https://doi.org/10.1007/BF01061352

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  • DOI: https://doi.org/10.1007/BF01061352

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