On A-integrability of the spectral shift function of unitary operators arising in the Lax-Phillips scattering theory

Author:

Rybkin A. V.

Publisher

Duke University Press

Subject

General Mathematics

Reference31 articles.

1. [1] V. M. Adamjan and D. Z. Arov, Unitary couplings of semi-unitary operators, Mat. Issled. 1 (1966), no. vyp. 2, 3–64, English translation in Amer. Math. Soc. Transl. Ser. 2 95, 1970.

2. [2] V. M. Adamjan and H. Neidhardt, On the summability of the spectral shift function for pair of contractions and dissipative operators, J. Operator Theory 24 (1990), no. 1, 187–205.

3. [3] A. B. Aleksandrov, $A$-integrability of boundary values of harmonic functions, Mat. Zametki 30 (1981), no. 1, 59–72, 154.

4. [4] D. Z. Arov, Unitary couplings with losses (a theory of scattering with losses), Funkcional. Anal. i Priložen. 8 (1974), no. 4, 5–22.

5. [5] M. Sh. Birman and M. G. Krein, On the theory of wave operators and scattering operators, Dokl. Akad. Nauk SSSR 144 (1962), 475–478, English translation in Soviet Math. Dokl. 3 (1962).

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