On the existence of maximal spanning vectors in L2(Q2) and L2(F2((T)))

被引：3

作者：

Cheng, Chuangxun ^{[1
]}

Lu, Jiuyi ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2023年 / 245卷

关键词：

Local field; Fourier analysis on local fields; Continuous frame; Maximal spanning vector;

D O I：

10.1016/j.jnt.2022.11.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the phase retrieval property for the Weyl-Heisenberg representation pi : (G) over tilde x G -> U(L-2(G)), where G is a non-archimedean local field with residue characteristic 2. We prove that pi does phase retrieval by explicitly constructing maximal spanning vectors in L-2(G). (c) 2022 Elsevier Inc. All rights reserved.

引用

页码：187 / 202

页数：16

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