Re: Example+Fourier transform
- From: hrubin@xxxxxxxxxxxxxxxxxxxx (Herman Rubin)
- Date: 12 Jun 2006 15:59:40 -0400
In article <1150034338.785066.307150@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
eugene <jane1806@xxxxxxxxxx> wrote:
Could you give examples of f \in L^2(R) - L^1(R) such that the fourier
transform of f is in L^1(R). Under what circumstances can this happen ?
Try sin(x)/x. This is always the case when f is the
Fourier transform of a discontinuous L^1 function,
as the Fourier transform of an L^1 function is continuous.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@xxxxxxxxxxxxxxx Phone: (765)494-6054 FAX: (765)494-0558
.
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- Example+Fourier transform
- From: eugene
- Example+Fourier transform
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