Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (6): 1649-1658.

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The Discrete Series of Affine Symmetric Space ${SO^\ast(6)/SO(3,\mathbb{C})}$

Lan Chao(),Fan Xingya*()   

  1. College of Mathematics and System Science, Xinjiang University, Urumqi 830017
  • Received:2022-04-09 Revised:2023-05-15 Online:2023-12-26 Published:2023-11-16
  • Supported by:
    NSFC(12161083);NSFC(12126360);Natural Science Foundation of Xinjiang Uygur Autonomous Region(2020D01C048);Natural Science Foundation of Xinjiang Uygur Autonomous Region(2021D01C071)

Abstract:

In this paper, the partial discrete sequence of $SO^\ast(6)/SO(3,\mathbb{C})$ is obtained by local isomorphism of Hermite-type affine symmetric space, and the specific form of the holomorphic discrete sequence generated by the cyclic vector is given.

Key words: Affine symmetric space of Hermitian type, Discrete series, Bergman space

CLC Number: 

  • O152.5
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