约化p-adic对称空间Schwartz空间中的波包
表示论
2013-05-16 v2
摘要
我们在约化p-adic对称空间的Schwartz空间中形成某些缓增函数族的波包。我们展示了如何从Eisenstein积分构造这样的族。
引用
@article{arxiv.1203.0973,
title = {Wave packets in the Schwartz space of a reductive p-adic symmetric space},
author = {P. Delorme and P. Harinck},
journal= {arXiv preprint arXiv:1203.0973},
year = {2013}
}
备注
We discovered a mistake in the proof of Theorem 2 in version 1. The second part of the proof was only allusive and not correct. In version 2, we change our definition of family of type I, I' and II' and give modified proofs of our main results (Theorems 4.6 and 5.1 in version 2, Theorems 1 and 2 in version 1) whose statements are essentially unchanged. The article will appear in J. of Lie Theory