Contents V.14 N.1 2023

  • ON SELF-ADJOINT EXTENSIONS OF SYMMETRIC OPERATOR WITH EXIT TO LARGER SPACE
    NIGAR M. ASLANOVA, KHALIG M. ASLANOV (pp. 91-105)
    10.30546/2219-1259.14.1.2023.91

    • Abstract.

    In this paper, we investigate a minimal operator corresponding for the second order differential operator expression with an exit from the space, study its self-adjoint extensions, also for one particular self-adjoint extension, corresponding to boundary value problem with some rational function of eigenparameter in boundary condition, establish asymptotics of the spectrum and derive a trace formula.

    Keywords:

    Hilbert space, differential operator equation, self-adjoint extensions with exit from space, spectrum, eigenvalues, trace class operators, regularized trace.

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