Nazarov Uncertainty Principle for Certain Lie Groups

Authors

  • Piyush Bansal Department of Mathematics, St. Stephen’s College (University of Delhi), University Enclave, North Campus, Delhi 110007, India https://orcid.org/0009-0001-5738-6755
  • Ashish Bansal Department of Mathematics, Keshav Mahavidyalaya (University of Delhi), H-4-5 Zone, Pitampura, Delhi 110034, India https://orcid.org/0000-0001-6507-0868

DOI:

https://doi.org/10.26713/jims.v17i3.3342

Abstract

Nazarov uncertainty principle is established for the Fourier transform and the continuous modulated shearlet transform on the groups of the form \(\mathbb{R}^n \times K\), where \(K\) is a locally compact group. As special cases, Nazarov uncertainty principle follows for the Gabor transform, the shearlet transform and the wavelet transform on these groups.

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References

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Published

2025-09-16
CITATION

How to Cite

Bansal, P., & Bansal, A. (2025). Nazarov Uncertainty Principle for Certain Lie Groups. Journal of Informatics and Mathematical Sciences, 17(3), 315–323. https://doi.org/10.26713/jims.v17i3.3342

Issue

Vol. 17 No. 3 (2025)

Section

Research Article

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