Geodesic
On the Convergence of Biorthogonal Series Corresponding to Nonselfadjoint Sturm-Liouville Operator with Discontinuous Coefficients
Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 129

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We consider the convergence of the biorthogcnal series corresponding to the nonselfadjoint Sturm-Liouville operator at the points of discontinuity of its coefficients. For any function $f(x)\in L_2$ we construct a function $\tilde f_{x_0}(x)$ such that the trigonometrical Fourier series of $\tilde f_{x_0}(x)$ is convergent at the point of discontinuity $x_0$ if and only if the biorthogonal series of $f(x)$ is convergent at this point.
Classification : 34B25 
@article{PIM_1986_N_S_39_53_a17,
     author = {Neboj\v{s}a L. La\v{z}eti\'c},
     title = {On the {Convergence} of {Biorthogonal} {Series} {Corresponding} to {Nonselfadjoint} {Sturm-Liouville} {Operator} with {Discontinuous} {Coefficients}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {129 },
     publisher = {mathdoc},
     volume = {_N_S_39},
     number = {53},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a17/}
}
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Nebojša L. Lažetić. On the Convergence of Biorthogonal Series Corresponding to Nonselfadjoint Sturm-Liouville Operator with Discontinuous Coefficients. Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 129 . http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a17/