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Balian–Low type theorems on \(L^2(\mathbb {C})\)

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Abstract

In this paper we prove amalgam Balian–Low theorems and Balian–Low type theorems on \(L^2(\mathbb {C})\) for the special Hermite operator using the Weyl transform.

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Acknowledgements

The first author wishes to thank the Ministry of Human Resource Development, India for the research fellowship and Indian Institute of Technology Guwahati, India for the support provided during the period of this work.

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  1. Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, 781039, India

    Anirudha Poria & Jitendriya Swain

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  1. Anirudha Poria
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  2. Jitendriya Swain
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Correspondence to Jitendriya Swain.

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Poria, A., Swain, J. Balian–Low type theorems on \(L^2(\mathbb {C})\). J. Pseudo-Differ. Oper. Appl. 12, 28 (2021). https://doi.org/10.1007/s11868-021-00402-1

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  • DOI: https://doi.org/10.1007/s11868-021-00402-1

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