Skip to main content
SpringerLink
Log in

On rationally embeddable measures on Lie groups

  • Published:
Sankhya A Aims and scope Submit manuscript

Abstract

We give a short exposition on the continuous embeddability of rationally embeddable probability measures on Lie groups.

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

Similar content being viewed by others

References

  • Dani, S.G. (2006). Asymptotic behaviour of measures under automorphisms. In Probability Measures on Groups: Recent Directions and Trends, (S.G. Dani and P. Graczyk, eds.). Narosa, New Delhi, India, 149–178.

    Google Scholar 

  • Dani, S.G. (2009). Factors, roots and embeddings of measures on Lie groups. In Perspectives in Mathematical Sciences I: Probability and Statistics, (N.S. Narasimha Sastry, T.S.S.R.K. Rao, Mohan Delampady, B. Rajeev, eds.). World Scientific, Singapore, 93–107.

    Chapter  Google Scholar 

  • Dani, S.G. and McCrudden, M. (1988). On the factor sets of measures and local tightness of convolution semigroups over Lie groups. J. Theoret. Probab., 1, 357–370.

    Article  MATH  MathSciNet  Google Scholar 

  • Dani, S.G. and McCrudden, M. (2007). Convolution roots and embeddings of probability measures on Lie groups, Adv. Math., 209, 198–211.

    Article  MATH  MathSciNet  Google Scholar 

  • Heyer, H. (1977). Probability Measures on Locally Compact Groups. Springer, NY.

    MATH  Google Scholar 

  • McCrudden, M. (2006). The embedding problem for probabilities on locally compact groups. In Probability Measures on Groups: Recent Directions and Trends, (S.G. Dani and P. Graczyk, eds.). Narosa, New Delhi, India, 331–363.

    Google Scholar 

  • Yuan, J. (1976). On the construction of one-parameter semigroups in topological semigroups. Pacific J. Math., 65, 285–292.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tata Institute of Fundamental Research, Mumbai, India

    S. G. Dani

  2. School of Mathematics, Tata Institute of Fundamental Research, Dr. Homi Bhabha Road, Mumbai, 400 005, India

    S. G. Dani

Authors
  1. S. G. Dani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. G. Dani.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dani, S.G. On rationally embeddable measures on Lie groups. Sankhya 72, 221–225 (2010). https://doi.org/10.1007/s13171-010-0009-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13171-010-0009-2

AMS (2000) subject classification

Keywords and phrases

Search

Navigation