Geodesic
The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances
Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 421-431

Voir la notice de l'article provenant de la source Math-Net.Ru

A trace formula is given for an abstract pair consisting of a dissipative operator and a selfadjoint operator, and a connection is established between the spectral shift function of this pair and the corresponding scattering matrix. As a consequence, trace formulas are obtained for a specific dissipative operator arising in the problem of resonance scattering of plane waves on a one-dimensional semi-infinite crystal. Bibliography: 8 titles. 
@article{SM_1986_53_2_a8,
     author = {A. V. Rybkin},
     title = {The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances},
     journal = {Sbornik. Mathematics},
     pages = {421--431},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1986_53_2_a8/}
}
TY  - JOUR
AU  - A. V. Rybkin
TI  - The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances
JO  - Sbornik. Mathematics
PY  - 1986
SP  - 421
EP  - 431
VL  - 53
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1986_53_2_a8/
LA  - en
ID  - SM_1986_53_2_a8
ER  - 
%0 Journal Article
%A A. V. Rybkin
%T The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances
%J Sbornik. Mathematics
%D 1986
%P 421-431
%V 53
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1986_53_2_a8/
%G en
%F SM_1986_53_2_a8
A. V. Rybkin. The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances. Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 421-431. http://geodesic.mathdoc.fr/item/SM_1986_53_2_a8/