References
S. N. M. Ruijsenaars,Ann. Physics. (N.Y.),116, 105–134 (1978).
N. N. Bogolyubov and D. V. Shirkov,Quantum Fields [in Russian], Nauka, Moscow (1980).
J. C. Baez, I. E. Segal, and Z. Zhou,Introduction to Algebraic and Constructive Quantum Field Theory, Princeton Univ. Press, Princeton (1992).
O. G. Smolyanov and H. V. Weizsäcker,Infinite-Dimensioinal Analysis, Quantum Probability and Related Topics,2, No. 1, 51–79 (1999).
O. G. Smolyanov and H. V. Weizsaecker,C. R. Acad. Sci. Paris Sér. I,321, 103–108 (1995).
G. Lion and M. Vergne,The Weil Representation, Maslov Index and Theta Series, Birkhäuser Boston, Boston MA (1980).
M. Vergne,C. R. Acad. Sci. Paris,285, 191–194 (1977).
H. H. Schaefer,Topological Vector Spaces, 3rd printing, Springer-Verlag, New York (19710.
J. T. Ottesen,Infinite-Dimensional Groups and Algebras in Quantum Physics, Springer, New York (1995).
S. Lang, SL2(ℝ), Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam (1975).
J. Kupsch and O. G. Smolyanov,Dokl. Ross. Akad. Nauk [Russian Acad. Sci. Dokl. Math.],363, No. 6, 741–745 (1998).
F. A. Berezin,The Method of Second Quantization [in Russian], Nauka, Moscow (1965); English translation inThe Method of Second Quantization, Academic Press, New York-London (1966).
Author information
Authors and Affiliations
Additional information
Translated fromMatematicheskie Zametki, Vol. 68, No. 3, pp. 474–479, September, 2000.
Rights and permissions
About this article
Cite this article
Kupsch, J., Smolyanov, O.G. Bogolyubov transformations in Wiener-Segal-Fock space. Math Notes 68, 409–414 (2000). https://doi.org/10.1007/BF02674567
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02674567