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f(x) = |x|^r.  (x is real, 0<r<1).
ÎÒÖªµÀ´ð°¸£¬¾ÍÊÇŪ²»³öÁË£¬Ò²¾ÍÊÇÍüÁËCauchy principal value integral.  
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zaq123321

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ÒýÓûØÌû:
5Â¥: Originally posted by ztt405 at 2014-08-09 08:53:21
ÖÜÃñÇ¿µÄ"µ÷ºÍ·ÖÎö½²Òå"µÚ112Ò³Óн²L^2ÉϵÄHilbert±ä»», Äã¿ÉÒԲο¼.

Thanks a lot.
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9Â¥2014-08-09 23:00:01
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feixiaolin

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|x|^r=x^r*sgn(x)
H[|x|^r]=x^r*sgn(x)¾í»ý1/(pi*t)
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2Â¥2014-08-08 12:57:54
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zaq123321

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ÒýÓûØÌû:
2Â¥: Originally posted by feixiaolin at 2014-08-08 12:57:54
|x|^r=x^r*sgn(x)
H=x^r*sgn(x)¾í»ý1/(pi*t)
ÔÚÆµÓò´¦Àí£¬±ä»ØÀ´¡£

Can you expand
ÔÚÆµÓò´¦Àí£¬±ä»ØÀ´
a little bit more?

Thanks a lot. We are on the right track.
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3Â¥2014-08-09 00:59:38
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Edstrayer

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