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Qualitative uncertainty principle for the Gabor transform on certain locally compact groups

  • Jyoti Sharma and Ajay Kumar ORCID logo EMAIL logo
Published/Copyright: December 23, 2017

Abstract

Several classes of locally compact groups have been shown to possess a qualitative uncertainty principle for the Gabor transform. These include Moore groups, the Heisenberg group n, the group n×D (where D is a discrete group) and other low-dimensional nilpotent Lie groups.

MSC 2010: 43A30; 22D99; 22E25

Dedicated to late Professor Eberhard Kaniuth


Award Identifier / Grant number: 21/12/2014(ii)EU-V

Funding statement: The first author is supported by University Grants Commission (Ref. No:21/12/2014(ii)EU-V).

Acknowledgements

The authors would like to thank the referee for providing the proof of Theorem 3.6 and several other suggestions.

References

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Received: 2017-04-25
Revised: 2017-11-24
Accepted: 2017-11-24
Published Online: 2017-12-23
Published in Print: 2018-07-01

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