期刊论文详细信息
Journal of the Australian Mathematical Society | |
The positive part of a Fourier transform | |
Augusto Logli1  | |
关键词: 42 B 10; | |
DOI : 10.1017/S1446788700022990 | |
学科分类:数学(综合) | |
来源: Cambridge University Press | |
【 摘 要 】
We consider the function u whose Fourier transform is the positive part of the Fourier transform of a function f on Rn. If n ≤ 2 and f satisfies simple regularity conditions (in particular if f is in the Schwartz space Y(Rn), then u lies in L1(Rn). If n ≥ 3, then simple counterexamples exist; for example, if f(x) = |x|2 exp(-|x|2), then u does not lie in L1(Rn).
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040543664ZK.pdf | 159KB | download |