An Uncertainty Principle of Paley and Wiener on Euclidean Motion Group

被引：3

作者：

Bhowmik, Mithun ^{[1
]}

Sen, Suparna ^{[1
]}

机构：

[1] Indian Stat Inst, Stat Math Unit, 203 BT Rd, Kolkata 700108, India

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 06期

关键词：

Uncertainty principle; Euclidean motion group; Schrodinger equation; SCHRODINGER-EQUATIONS; LIE-GROUPS; UNIQUENESS; THEOREM;

D O I：

10.1007/s00041-016-9510-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A classical result due to Paley and Wiener characterizes the existence of a non-zero function in supported on a half line, in terms of the decay of its Fourier transform. In this paper we prove an analogue of this result for compactly supported continuous functions on the Euclidean motion group M(n). We also relate this result to a unique continuation property of solutions to the initial value problem for time-dependent Schrodinger equation on M(n).

引用

页码：1445 / 1464

页数：20

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