Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities
Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 408-421

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A short review is presented of results on the spectral theory of arbitrary order ordinary differential operators with non-integrable regular singularities. We establish properties of spectral characteristics, prove theorems on completeness of root functions in the corresponding spaces, prove expansion and equiconvergence theorems, and provide a solution of the inverse spectral problem for this class of operators.
@article{CMFD_2021_67_2_a10,
     author = {V. A. Yurko},
     title = {Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {408--421},
     publisher = {mathdoc},
     volume = {67},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a10/}
}
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V. A. Yurko. Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities. Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 408-421. http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a10/