Geodesic
Differential Faddeev equations as a~spectral problem for nonsymmetric operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 3, pp. 513-528

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We consider a nonsymmetric operator, for which the eigenvalue problem is the system of three-particle differential Faddeev equations. For this operator and its adjoint, the resolvents and represented in terms of the Faddeev $T$-matrix components of the three particle Schrödinger operator. Based on these representations, the invariant spaces of the operators under consideration are investigated and their eigenfunctions are determined. The biorthogonality and completeness are proved. 
@article{TMF_1996_107_3_a11,
     author = {S. L. Yakovlev},
     title = {Differential {Faddeev} equations as a~spectral problem for nonsymmetric operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {513--528},
     publisher = {mathdoc},
     volume = {107},
     number = {3},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_3_a11/}
}
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S. L. Yakovlev. Differential Faddeev equations as a~spectral problem for nonsymmetric operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 3, pp. 513-528. http://geodesic.mathdoc.fr/item/TMF_1996_107_3_a11/