Geodesic
Spectral Analysis of Certain Self-Adjoint Differential Operators in a Space with Indefinite Metric
Matematičeskie zametki, Tome 70 (2001) no. 4, pp. 568-580

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A second-order differential operator self-adjoint with respect to an indefinite metric on the circle is considered. The spectral resolution of this operator is found. The hypergeometric function is used in the computation of the Plancherel measure. 
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     author = {R. S. Ismagilov and Sh. Sh. Sultanov},
     title = {Spectral {Analysis} of {Certain} {Self-Adjoint} {Differential} {Operators} in a {Space} with {Indefinite} {Metric}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {568--580},
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     number = {4},
     year = {2001},
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R. S. Ismagilov; Sh. Sh. Sultanov. Spectral Analysis of Certain Self-Adjoint Differential Operators in a Space with Indefinite Metric. Matematičeskie zametki, Tome 70 (2001) no. 4, pp. 568-580. http://geodesic.mathdoc.fr/item/MZM_2001_70_4_a8/