Nikolai Nikolaevich Bogolyubov and Mathematics

V. S. Vladimirov

Informatics and Automation, Problems of the modern mathematical physics, Tome 228 (2000), pp. 7-16.

Résumé

The paper gives an account of the role of mathematics in the scientific activity of N. N. Bogolyubov, the development of the axiomatic approach in quantum field theory and many applications of this approach, as well as the works by Bogolyubov in other important problems of theoretical and mathematical physics, including his participation in the development of the first samples of nuclear weapon.

Bibliographie

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[7] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Gostekhizdat, M., 1957 | MR

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[13] Bogoliubov N. N., Vladimirov V. S., “On some mathematical problems of quantum field theory”, Proc. Intern. Congr. Math. (Edinburgh, Aug. 1958), Cambridge, 1960, 19–32 | MR

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[15] Bogolyubov N. N., Vladimirov V. S., Tavkhelidze A. N., “Ob avtomodelnoi asimptotike v kvantovoi teorii polya”, TMF, 12:3 (1972), 305–330 | MR

[16] Vladimirov V. S., Drozhzhinov Yu. N., Zavyalov B. I., Mnogomernye tauberovy teoremy dlya obobschennykh funktsii, Nauka, M., 1986 | MR

[17] Bogolyubov N. N., Vladimirov V. S., “Odna teorema ob analiticheskom prodolzhenii obobschennykh funktsii”, Nauch. dokl. vyssh. shk. Fiz.-mat. nauki, 1958, no. 3, 26–35

[18] Bogolyubov N. N., Vladimirov V. S., “Predstavlenie $n$-tochechnykh funktsii”, Tr. MIAN, 112, 1971, 5–21 | Zbl

[19] Sakharov A. D., Vospominaniya, v 2-kh tomakh, Prava cheloveka, M., 1996