An extremal problem in Fourier analysis with applications to operator theory

An extremal problem in Fourier analysis with applications to operator theory
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DOI:
10.1016/0022-1236(89)90095-5
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发表时间:
1989
影响因子:
1.7
通讯作者:
R. Bhatia;Chandler Davis;P. Koosis
R. Bhatia;Chandler Davis;P. Koosis
中科院分区:
数学1区
文献类型:
--
作者:
R. Bhatia;Chandler Davis;P. Koosis

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傅立叶变换的某个最小外推问题已知对线性算子方程和算子扰动中某些问题的最佳可能界限的确定有影响。在本文中,我们估计的傅里叶变换问题中的常数的值,由一个解析的重新表述。
A certain minimal extrapolation problem for Fourier transforms is known to have consequences for the determination of best possible bounds in some problems in linear operator equations and in perturbation of operators. In this paper we estimate the value of the constant in the Fourier-transform problem, by an analytic reformulation.