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Spectral decomposition of the cubic Casimir operator associated with Jacobi group

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Abstract

By means of the Hermite-theta function, we study the spectral resolution of the cubic Casimir operator on a fundamental domain of the Jacobi group.

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Acknowledgements

The author would like to thank Professors E. H. Zerouali and A. Belhaj for their helpful discussion and comments. We also would like to thank the referee for the helpful remarks and comments related to the content.

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Authors and Affiliations

  1. Center of Mathematical Research and Applications of Rabat (CeReMAR), Laboratory of Mathematical Analysis and Applications, Department of Mathematics, Faculty of Sciences, Mohammed V University in Rabat, P.O. Box 1014, Rabat, Morocco

    Mohammed Ziyat

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  1. Mohammed Ziyat
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Correspondence to Mohammed Ziyat.

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The author is partially supported by the CNRST Grant 56UM5R2015, Morocco.

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Ziyat, M. Spectral decomposition of the cubic Casimir operator associated with Jacobi group. Ramanujan J 50, 135–150 (2019). https://doi.org/10.1007/s11139-018-0003-1

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  • DOI: https://doi.org/10.1007/s11139-018-0003-1

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