Geodesic
Riesz Bases of Eigenfunctions of an Integral Operator with a~Variable Limit of Integration
Matematičeskie zametki, Tome 76 (2004) no. 1, pp. 97-110

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We prove a theorem on the Riesz basis property in the space $L_2[0,1]$ of the eigenfunctions and associated functions of an integral operator whose kernel possesses a derivative discontinuous on the line $t=1-x$. 
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     author = {V. P. Kurdyumov and A. P. Khromov},
     title = {Riesz {Bases} of {Eigenfunctions} of an {Integral} {Operator} with {a~Variable} {Limit} of {Integration}},
     journal = {Matemati\v{c}eskie zametki},
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V. P. Kurdyumov; A. P. Khromov. Riesz Bases of Eigenfunctions of an Integral Operator with a~Variable Limit of Integration. Matematičeskie zametki, Tome 76 (2004) no. 1, pp. 97-110. http://geodesic.mathdoc.fr/item/MZM_2004_76_1_a9/