close
Skip to main content
Log in

Algebra of one-dimensional generalized functions

  • 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

Subscribe and save

Springer+
from $39.99 /Month
  • Starting from 10 chapters or articles per month
  • Access and download chapters and articles from more than 300k books and 2,500 journals
  • Cancel anytime
View plans

Buy Now

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

Instant access to the full article PDF.

Literature Cited

  1. N. N. Bogolyubov and O. S. Parasyuk, Acta Math.,97, 227 (1957); N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience (1959). (The Russian reference is to the third edition published by Nauka (1976))

    Google Scholar 

  2. K. Keller, On the Multiplication of Distributions (II), Preprint Techn. Hochschule, Aachen (1976).

  3. V. S. Vladimirov, Methods of the Theory of Functions of Many Complex Variables, M.I.T. Press, Cambridge, Mass. (1966).

    Google Scholar 

  4. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 2, Academic Press, New York (1975).

    Google Scholar 

  5. N. Nakanishi, Commun. Math. Phys.,48, 97 (1976).

    Google Scholar 

  6. A. S. Shvarts, Elements of Quantum Field Theory [in Russian], Atomizdat (1975).

  7. F. A. Berezin, Mat. Sb.,60, 465 (1963).

    Google Scholar 

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

    Google Scholar 

  9. L. Berg and Z. Angew, J. Math. Mech.,56, 177 (1976).

    Google Scholar 

  10. V. K. Ivanov, Izv. Vyssh. Uchebn. Zaved. Mat., No. 10, 65 (1977).

    Google Scholar 

  11. Yu. M. Shirokov, Teor. Mat. Fiz.,28, 308 (1976).

    Google Scholar 

Download references

Authors

Additional information

Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 39, No. 3, pp. 291–301, June, 1979.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shirokov, Y.M. Algebra of one-dimensional generalized functions. Theor Math Phys 39, 471–477 (1979). https://doi.org/10.1007/BF01017992

Download citation

  • Received:

  • Issue date:

  • DOI: https://doi.org/10.1007/BF01017992

Keywords