Ukrainian Mathematical Journal

, Volume 45, Issue 12, pp 1825–1831 | Cite as

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

  • I. G. Izvekov
  • E. V. Martynenko


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.


Differential Operator Jacobi Polynomial Classical Space Ultradifferentiable Function Orthogonal Jacobi Polynomial 
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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • I. G. Izvekov
    • 1
  • E. V. Martynenko
    • 2
  1. 1.Kiev Polytechnical InstituteKiev
  2. 2.Sumy Pedagogical InstituteSumy

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