Residue formula for regular symmetry breaking operators
Residue formula for regular symmetry breaking operators
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正则对称破缺算子的剩余公式
DOI：
10.1090/conm/714/14380
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Kobayashi Toshiyuki
中科院分区：
文献类型：
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作者：
Ito Terumasa;Obara Yuki;Misawa Kazuhiko;Hiroshi Kokubu;藤縄康弘;Kobayashi Toshiyuki
我们证明了其超平面上的微分形式和超平面上的微分形式之间的共形协变积分算子的亚纯延拓的显式留数公式。结果提供了球体上的微分形式与其全测地超曲面上的微分形式之间的共形协变微分对称破缺算子的简单而新的构造，该算子在[Kobayashi-Kubo-Pevzner，Lect.数学笔记。 （2016）]。此外，我们确定了 和 的主级数表示之间的矩阵值正则对称破缺算子的零点。
We prove an explicit residue formula for a meromorphic continuation of conformally covariant integral operators between differential forms onand on its hyperplane. The results provide a simple and new construction of the conformally covariant differential symmetry breaking operators between differential forms on the sphere and those on its totally geodesic hypersurface that were introduced in [Kobayashi-Kubo-Pevzner, Lect. Notes Math. (2016)]. Moreover, we determine the zeros of the matrix-valued regular symmetry breaking operators between principal series representations ofand.