Skip to main content
SpringerLink
Log in

On the Hölder Property of Trajectories in a Set of Full Wiener Measure on the Heisenberg Group

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. S. V. Mamon, Fundam. Prikl. Mat. 21(4), 67 (2016).

    MathSciNet  Google Scholar 

  2. N. A. Sidorova, Mat. Zametki 73(6), 947 (2003) [Math. Notes 73 (6), 895 (2003)].

    Article  Google Scholar 

  3. N. A. Sidorova, Mat. Zametki 76(2), 307 (2004) [Math. Notes 76 (2), 286 (2004)].

    Article  Google Scholar 

  4. M. Yu. Neklyudov, Mat. Zametki 75(5), 789 (2004) [Math. Notes 75 (5), 734 (2004)].

    Article  MathSciNet  Google Scholar 

  5. O. G. Smolyanov, H. Weizsäcker, O. Wittich, and N. A. Sidorova, Dokl. Ross. Akad. Nauk 383(4), 458 (2002) [Dokl. Math. 65 (2), 239 (2002)].

    Google Scholar 

  6. B. Gaveau, Acta Math. 139(1-2), 95 (1977).

    Article  MathSciNet  Google Scholar 

  7. A. Hulanicki, Studia Math. 56(2), 165 (1976).

    Article  MathSciNet  Google Scholar 

  8. D. Applebaum and S. Cohen, Ann. Fac. Sci. Toulouse Math. (6) 13(2), 149 (2004).

    Article  MathSciNet  Google Scholar 

  9. E. F. Sachkova, in SMFN (RUDN, Moscow, 2011), Vol. 42, pp. 199–203 [J. Math. Sci. 199 (5), 583 (2014)].

    Google Scholar 

  10. A. Dasgupta, S. Molahajloo, and M-W. Wong, Tohoku Math. J. (2) 63, 269 (2011).

    Article  MathSciNet  Google Scholar 

  11. I. M. Gel’fand and A. M. Yaglom, Uspekhi Mat. Nauk 11 (1 (67)), 77 (1956).

    Google Scholar 

  12. G. E. Shilov, Uspekhi Mat. Nauk 18 (2(110)), 99 (1963) [Russian Math. Surveys 18 (2), 97 (1963)].

    Google Scholar 

  13. O. G. Smolyanov and E. T. Shavgulidze, Path Integrals (Izd. Moskov. Univ., Moscow, 1990) [in Russian].

    MATH  Google Scholar 

  14. K. Ito and H. MacKean, Diffusion Processes and Their Sample Paths (Springer-Verlag, Berlin—New York 1965; Mir, Moscow, 1968).

    Google Scholar 

Download references

Acknowledgments

The author wishes to express great gratitude to his scientific adviser E. T. Shavgulidze for stating the problem and valuable remarks during the preparation of the paper.

Author information

Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    C. V. Mamon

Authors
  1. C. V. Mamon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to C. V. Mamon.

Additional information

Russian Text © The Author(s), 2019, published in Matematicheskie Zametki, 2019, Vol. 106, No. 2, pp. 316–320.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mamon, C.V. On the Hölder Property of Trajectories in a Set of Full Wiener Measure on the Heisenberg Group. Math Notes 106, 308–312 (2019). https://doi.org/10.1134/S0001434619070356

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434619070356

Keywords

Search

Navigation