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The inverse Abel transform for an exceptional bounded symmetric domain

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Abstract

By using the first shift operator of thebc 2- root system, the elementary spherical functions on the exceptional bounded symmetric domainE 6/spin(10) ×T are obtained, and the inverse Abel transform for this space is derived. Finally an expression of the heat kernel of this domain is given.

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Authors and Affiliations

  1. Department of Mathematics, Wuhan University, 430072, Wuhan, China

    Fuliu Zhu

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  1. Fuliu Zhu
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Project partially supported by the National Natural Science Foundation of China.

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Zhu, F. The inverse Abel transform for an exceptional bounded symmetric domain. Sci. China Ser. A-Math. 40, 687–696 (1997). https://doi.org/10.1007/BF02878691

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  • DOI: https://doi.org/10.1007/BF02878691

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