New Paley-Wiener Theorems

被引：2
|
作者：
Ha Huy Bang [1 ]
Vu Nhat Huy [2 ,3 ]
机构：
[1] Vietnamese Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet St, Hanoi, Vietnam
[2] Vietnam Natl Univ, Coll Sci, Dept Math, 334 Nguyen Trai, Hanoi, Vietnam
[3] Thang Long Inst Math & Appl Sci, Dept Math, Hanoi, Vietnam
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2020年 / 14卷 / 04期
关键词：
Paley-Wiener theorem; Generalized functions; INVERSE FOURIER-TRANSFORM; LOCAL HUYGENS PRINCIPLE; SPECTRAL-RADIUS; PROOF; HYPERFUNCTIONS;
D O I：
10.1007/s11785-020-01005-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, for an arbitrary fixed compact set K, we find necessary and sufficient conditions on the Taylor expansion coefficients of entire functions of exponential type so that these functions are the Fourier image of distributions supported in K. In other words, we state the Paley-Wiener theorem in the language of Taylor expansion coefficients.
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页数：31
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