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Bogolyubov’s operator \(S(g)\) for some two-dimensional models of quantum field theory. (English) Zbl 0413.47010
47A40 Scattering theory of linear operators
46N99 Miscellaneous applications of functional analysis
Full Text: DOI
[1] J. Glimm and A. Jaffe, Phys. Rev.,176, 1945 (1968). · Zbl 0177.28203 · doi:10.1103/PhysRev.176.1945
[2] J. Glimm and A. Jaffe, Ann. Phys.,60, 321 (1970). · Zbl 1229.81087 · doi:10.1016/0003-4916(70)90495-1
[3] L. Rosen, Commun. Pure Appl. Math.,24, 417 (1971). · doi:10.1002/cpa.3160240306
[4] V. F. Vreshchinski, Teor. Mat. Fiz.,11, 331 (1972).
[5] Yu. A. Semenov, Preprint ITP-72-156E, Kiev (1972).
[6] I. D. Chueshov, Preprint ITF-74-154R [in Russian], Kiev (1974).
[7] T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin (1966). · Zbl 0148.12601
[8] J. L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, Springer, Berlin (1971).
[9] S. S. Ivanov, D. Ya. Petrina, and A. L. Rebenko, Teor. Mat. Fiz.,19, 37 (1974).
[10] Ju. M. Berezanskii, Expansion in Eigenfunctions of Self-Adjoint Operators (Translations of Mathematical Monographs, Vol. 17), A. M. S. Providence (1968).
[11] B. Simon and R. Hoegh-Krohn, J. Funct. Anal.,9, 121 (1972). · Zbl 0241.47029 · doi:10.1016/0022-1236(72)90008-0
[12] R. Hoegh-Krohn, Commun. Math. Phys.,21, 244 (1971). · doi:10.1007/BF01647122
[13] J. Glimm and A. Jaffe, in: Statistical Mechanics and QFT, Les Houches Lecture 1970, Gordon and Breach (1971). · Zbl 0191.27005
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