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Article #14018Re: Q on 1/x's Fourier Transform
From: Masaki OSHIKAWA
Date: Fri, 19 Jan 1996 00:00
Date: Fri, 19 Jan 1996 00:00
30 lines
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1466 bytes
In article <CHIAKI.96Jan18230753@kitipc.ipc.kit.ac.jp> chiaki@ipc.kit.ac.jp (Tsukamoto Chiaki) writes:
In article <OSHIKAWA.96Jan17134908@appi.mmm.t.u-tokyo.ac.jp>
oshikawa@mmm.t.u-tokyo.ac.jp (Masaki OSHIKAWA) writes:
> 1/(x-id) => i \pi theta(-y)
1/(x - i0) $B$N%U!<%j%(JQ49$O(B 2 \pi i \theta(- y) $B$G$9$M(B.
1/(x + i0) $B$N%U!<%j%(JQ49$O(B - 2 \pi i \thata y.
$B$9$$$^$;$s!"$^$A$,$($^$7$?!#(B
$B$=$NDL$j$G$9!#(B
$B<B$O(B
1/x = 1/(x + i0) + \pi i \delta
= 1/(x - i0) - \pi i \delta
$B$H$J$C$F$$$^$9(B.
$B$3$l$N5-21$H:.Mp$7$F$$$?$h$&$G$9!#(B($B9M$($l$P$9$0$o$+$k$,(B)
--
Masaki OSHIKAWA < oshikawa@physics.ubc.ca >
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X-Google-Language: Japanese,JIS X-Google-Thread: f4956,e77d64330c6b6538 X-Google-Attributes: gidf4956,public From: oshikawa@mmm.t.u-tokyo.ac.jp (Masaki OSHIKAWA) Subject: Re: Q on 1/x's Fourier Transform Date: 1996/01/19 Message-ID: <OSHIKAWA.96Jan19114408@appi.mmm.t.u-tokyo.ac.jp> X-Deja-AN: 135745531 references: <KOUJI-T.96Jan16151434@alpha718.is.aist-nara.ac.jp> organization: Dept. of Applied Physics, University of Tokyo newsgroups: fj.sci.math