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Uncertainty inequalities for certain connected Lie groups

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Abstract

Pitt’s inequality for exponential solvable Lie groups with non-trivial center, connected nilpotent Lie groups with non-compact center, Heisenberg motion group and diamond Lie groups has been proved. These inequalities have been used to establish logarithmic uncertainty inequality and Heisenberg uncertainty inequality for the above classes of groups.

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Acknowledgements

The second author acknowledges the support from National Academy of Sciences, India. The authors would like to thank the reviewers for useful comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, St. Stephen’s College (University of Delhi), University Enclave, Delhi, 110007, India

    Piyush Bansal

  2. Department of Mathematics, University of Delhi, Delhi, 110007, India

    Ajay Kumar

  3. Department of Mathematics, Keshav Mahavidyalaya (University of Delhi), H-4-5 Zone, Pitampura, Delhi, 110034, India

    Ashish Bansal

Authors
  1. Piyush Bansal
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  2. Ajay Kumar
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  3. Ashish Bansal
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Correspondence to Ashish Bansal.

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Communicated by Joachim Toft.

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Bansal, P., Kumar, A. & Bansal, A. Uncertainty inequalities for certain connected Lie groups. Ann. Funct. Anal. 14, 57 (2023). https://doi.org/10.1007/s43034-023-00280-2

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