Article

    Ufa Mathematical Journal
    Volume 3, Number 3, pp. 26-53

    Spectral asymptotic of nonselfadjoint degenerate elliptic operators with singular matrix coefficients on an interval


    Gadoev M.G.

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    Some spectral asymptotic properties of nonselfadjoint operator $A$ associated with noncoercive bilinear form in the space $\mathcal{H}^{l}=L_{2}(0,1)^{l}$ are investigated in the article. Problems are considered as completeness of a system of root vector-functions of the operator $A$ in $\mathcal{ H}^{l}$, summability of Fourier series of elements $f\in \mathcal{H}^{l}$ with respect to the system of root vector-functions of operator $A$ by the Abel method with brackets, estimate for resolvent of operator $A$.