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The Spectrum of the Non-self-adjoint Twisted Laplacian on \(\displaystyle \mathbb {R}^2\)

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Abstract

We compute the spectrum of the non-self-adjoint twisted Laplacian. This answers a question raised by Thangvelu (Math Ann 335:879–899, 2006).

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Authors and Affiliations

  1. Faculty of Science, Ibn Tofail University, BP 133, 14000, Kenitra, Morocco

    Adil Bouhrara & Samir Kabbaj

Authors
  1. Adil Bouhrara
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  2. Samir Kabbaj
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Correspondence to Adil Bouhrara.

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Communicated by H. Turgay Kaptanoglu.

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This article is part of the topical collection “Harmonic Analysis and Operator Theory” edited by H. Turgay Kaptanoglu, Aurelian Gheondea and Serap Oztop.

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Bouhrara, A., Kabbaj, S. The Spectrum of the Non-self-adjoint Twisted Laplacian on \(\displaystyle \mathbb {R}^2\). Complex Anal. Oper. Theory 15, 108 (2021). https://doi.org/10.1007/s11785-021-01160-0

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  • DOI: https://doi.org/10.1007/s11785-021-01160-0

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