Geodesic
On generalized resolvents and spectral functions of differential operators of even order in a~space of vector-valued functions
Matematičeskie zametki, Tome 15 (1974) no. 6, pp. 945-954.

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We consider a self-adjoint differential expression of even order in a space of vector-valued functions. We prove that an arbitrary generalized resolvent of the minimal operator $L_0$ induced by this differential expression is an integral operator and we derive a formula for all of the spectral functions (orthogonal and nonorthogonal) of the operator $L_0$. 
@article{MZM_1974_15_6_a13,
     author = {V. M. Bruk},
     title = {On generalized resolvents and spectral functions of differential operators of even order in a~space of vector-valued functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {945--954},
     publisher = {mathdoc},
     volume = {15},
     number = {6},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_6_a13/}
}
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V. M. Bruk. On generalized resolvents and spectral functions of differential operators of even order in a~space of vector-valued functions. Matematičeskie zametki, Tome 15 (1974) no. 6, pp. 945-954. http://geodesic.mathdoc.fr/item/MZM_1974_15_6_a13/