Skip to main content
Log in

Two mathematical problems of canonical quantization. I

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. H. Araki, J. Math. Phys.,11, 492 (1960).

    Google Scholar 

  2. I. M. Gel'fand and N. Y. Vilenkin, Generalized Functions, Vol. 4, Applications of Harmonic Analysis, Academic Press, New York (1964).

    Google Scholar 

  3. A. S. Wightman, “Quelques problèmes mathématiques de la théorie quantique relativiste,” in: Les Problèmes Mathématiques de la Théorie Quantique des Champs, Centre National de la Recherche Scientifique (1959).

  4. S. Albeverio and R. Hoegh-Krohn, in: Colloque Intern. sur les Methodes Mathématiques de la Théorie Quantique des Champs. Ed. du C.N.R.S. No. 248, Paris (1976), pp. 11–59.

  5. Yu. M. Berezanskii and Yu. G. Kondrat'ev, Spectral Methods in Infinite-Dimensional Analysis [in Russian], Naukova Dumka, Kiev (1988).

    Google Scholar 

  6. S. Albeverio, T. Hida, J. Potthoff, M. Röckner, and L. Streit, J. Math. Phys.,26, 2546 (1985).

    Google Scholar 

  7. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 1, Academic Press, New York (1972).

    Google Scholar 

  8. H. H. Schaeffer, Topological Vector Spaces, MacMillan, New York (1966).

    Google Scholar 

  9. N. N. Vakhaniya and V. I. Tarieladze, Teor. Veroyatn. Ee Primen.,23, 3 (1978).

    Google Scholar 

  10. N. Bourbaki, Integration. Measures on Locally Compact Spaces. Continued Measures. Integration of Measures. Measures on Separable Spaces [Russian translation], Nauka, Moscow (1977).

    Google Scholar 

  11. V. I. Rybakov, Mat. Zam.,18, 577 (1975).

    Google Scholar 

  12. Yu. L. Daletskii and S. V. Fomin, Measures and Differential Equations in Infinite-Dimensional Spaces [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  13. Yu. L. Daletskii and S. N. Paramonova, Teor. Veroyatn. Ee Primen.,17, 51 (1977);18, 37 (1978).

    Google Scholar 

  14. M. U. Khafizov, Vest. MGU., Ser. 1, Mat. Mekh., No. 4, 63 (1990).

    Google Scholar 

  15. G. Hegerfeldt, J. Math. Phys.,13, 821 (1972).

    Google Scholar 

  16. A. V. Skorokhod, Integration in Hilbert Spaces [in Russian], Nauka, Moscow (1975).

    Google Scholar 

Download references

Authors

Additional information

Power Institute, Moscow. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 87, No. 1, pp. 22–23, April, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kirillov, A.I. Two mathematical problems of canonical quantization. I. Theor Math Phys 87, 345–353 (1991). https://doi.org/10.1007/BF01016572

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01016572

Keywords

Navigation