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The heat kernel on the quantized sphere

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Abstract

We give an explicit expansion series and an integral representation for the heat kernel associated with the magnetic Laplacian on the quantized Riemann sphere. We also derive the asymptotic expansion of the associated heat operator.

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Acknowledgements

The authors are indebted to the anonymous referee for his careful reading helping to improve the paper.

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Authors and Affiliations

  1. Centre Régional des Matiers de l’Education et de la Formation de kenitra, Kenitra, Morocco

    Ali Hafoud

  2. Department of Mathematics, Analysis, P.D.E. & Spectral Geometry, Lab MIA-SI, CeReMAR, Faculty of Sciences, Mohammed V University in Rabat, Rabat, Morocco

    Allal Ghanmi

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  1. Ali Hafoud
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  2. Allal Ghanmi
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Correspondence to Allal Ghanmi.

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Hafoud, A., Ghanmi, A. The heat kernel on the quantized sphere. Rend. Circ. Mat. Palermo, II. Ser 72, 2459–2468 (2023). https://doi.org/10.1007/s12215-022-00784-1

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  • DOI: https://doi.org/10.1007/s12215-022-00784-1

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