## Trace formulas for multichannel problems.(English)Zbl 0349.47021

### MSC:

 47B10 Linear operators belonging to operator ideals (nuclear, $$p$$-summing, in the Schatten-von Neumann classes, etc.) 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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### References:

 [1] K. O. Friedrichs, ?On the perturbation of continuous spectra,? Commun. Pure Appl. Math.,1, 361?406 (1948). · Zbl 0031.31204 [2] O. A. Ladyzhenskaya and L. D. Faddeev, ?Theory of perturbations of a continuous spectrum,? Dokl. Akad. Nauk SSSR,120, 1187?1190 (1958). · Zbl 0088.09101 [3] L. D. Faddeev, ?On the Friedrichs model in the theory of perturbations of a continuous spectrum,? Trudy Matem. Inst. Akad. Nauk SSSR,73 (1964). [4] V. S. Buslaev, ?Spectral identities and a trace formula in the Friedrichs model,? in: Problems of Mathematical Physics [in Russian], No. 4, Izd. LGU, Leningrad (1970). [5] V. S. Buslaev and S. P. Merkur’ev, ?Relationship between the third virial coefficient and the scattering matrix,? Teor. Mat. Fiz.,5, 372?387 (1970). [6] K. O. Friedrichs, Perturbation of Spectra in Hilbert Space, AMS Lectures in Applied Mathematics, Vol. 3, Amer. Math. Soc., Providence, R. I. (1965). · Zbl 0142.11001 [7] L. D. Faddeev, ?Mathematical aspects of quantum scattering theory for a three-particle system,? Trudy Matem. Inst. Akad. Nauk SSSR,69 (1963). [8] École Normale Supérieure, Séminaire ?Sophus Lie? 1954/1955, Secretariat Mathématique, Paris (1955).
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