3 RESULTS CONCERNING THE SUPPORT OF FUNCTIONS AND THEIR FOURIER-TRANSFORMS

被引：5
|
作者：
KARGAEV, PP [1 ]
VOLBERG, AL [1 ]
机构：
[1] MICHIGAN STATE UNIV,DEPT OCCUPAT MED,E LANSING,MI 48824
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1992年 / 41卷 / 04期
关键词：
D O I：
10.1512/iumj.1992.41.41057
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we offer a method for constructing functions with many gaps in their supports and in the supports of their Fourier transform. As a result we answer a question of Benedicks [Ben1] and we present the construction of a characteristic function with Fourier transform vanishing on an interval. We also give a new proof of a theorem of Benedicks which says what systems of intervals may support a function with Fourier transform vanishing on an interval. We slightly strengthen Benedicks result [Ben1].
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页码：1143 / 1164
页数：22
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