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Gabor Transform and Donoho–Stark’s U.P. in NA-Groups

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Abstract

Using the basic properties of Damek–Ricci spaces and its Fourier transform, we introduce the Gabor transform and study some of its properties. We will generalize the uncertainty principle of Donoho–Stark to this solvable extension of H-type group.

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Acknowledgements

The authors are grateful to the referees for carefully reading the paper and for elaborate and valuable suggestions and comments.

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Correspondence to Moussa Faress.

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The datasets generated during the current study are available from the corresponding author on reasonable request.

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Faress, M., Fahlaoui, S. Gabor Transform and Donoho–Stark’s U.P. in NA-Groups. Circuits Syst Signal Process 40, 2841–2854 (2021). https://doi.org/10.1007/s00034-020-01598-1

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  • DOI: https://doi.org/10.1007/s00034-020-01598-1

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