Skip to main content
Log in

Paley-Wiener-type theorem for nilpotent Lie groups

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

A Paley-Wiener-type theorem is proved for connected and simply connected Lie groups.

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.

References

  1. R. Park, “A Paley-Wiener theorem for all two-and three-step nilpotent Lie group,” J. Funct. Anal., No. 133, 227–330 (1995).

    Google Scholar 

  2. G. Polya, Mathematical Discovery [Russian translation], Nauka, Moscow (1978).

    Google Scholar 

  3. A. A. Kirillov, “Unitary representations of nilpotent Lie groups,” Usp. Mat. Nauk, 17, No. 4, 57–101 (1962).

    MathSciNet  Google Scholar 

  4. A. A. Kirillov, “On the Plancherel measure for nilpotent Lie groups,” Funkts. Anal., 1, No. 4, 98–100 (1967).

    MathSciNet  Google Scholar 

  5. A. A. Kirillov, Elements of Representation Theory [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  6. M. E. Taylor, “Noncommutative harmonic analysis,” in: Math. Surv. and Monographs. Amer. Math. Soc., 22, XVI, Providence, Rhode Island (1986).

    Google Scholar 

  7. S. Lang, SL2(R) [Russian translation], Mir, Moscow (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1564–1566, October, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kisil’, V.V. Paley-Wiener-type theorem for nilpotent Lie groups. Ukr Math J 50, 1786–1788 (1998). https://doi.org/10.1007/BF02524486

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02524486

Keywords

Navigation