Skip to main content
Log in

Abstract

We prove an uncertainty inequality for the Fourier transform on the Heisenberg group analogous to the classical uncertainty inequality for the Euclidean Fourier transform. Inequalities of similar form are obtained for the Hermite and Laguerre expansions.

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.

Similar content being viewed by others

References

  1. Folland G B, Lectures on partial differential equations,T.I.F.R. lecture notes No. 70 (1983)

  2. Geller D, Fourier Analysis on the Heisenberg group,J. Funct. Anal. 38 (1980) 205–254

    Article  MathSciNet  Google Scholar 

  3. Mauceri G, The Weyl transform and bounded operators on {ie145-1}.J. Funct. Anal. 39 (1980) 408–429

    Article  MATH  MathSciNet  Google Scholar 

  4. Mauceri G, Riesz means for the eigenfunction expansions for a class of hypoelliptic differential operators,Ann. Inst. Fourier, Grenoble,31 (1981) 115–140

    MATH  MathSciNet  Google Scholar 

  5. Price J and Sitaram A, Functions and their Fourier transforms with supports of finite measure for certain locally compact groups.J. Funct. Anal. 79 (1988) 166–182

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Thangavelu, S. Some uncertainty inequalities. Proc. Indian Acad. Sci. (Math. Sci.) 100, 137–145 (1990). https://doi.org/10.1007/BF02880958

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02880958

Keywords

Navigation