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Integral equation,two distributions 's product

• To: mathgroup at smc.vnet.net
• Subject: [mg111854] Integral equation,two distributions 's product
• From: netf cn <netfcn at gmail.com>
• Date: Sun, 15 Aug 2010 07:38:57 -0400 (EDT)

I had derived that two distributions f  's product g is

g[z] = Integrate[ (f[z/y] /y *f[y] )dy, {z, 0,Infinity}] -
Integrate(f[z/y] /y *f[y] )dy, {z, -Infinity, 0}]

it is known f to seek g
but,
how can known g to seek f  ?

Any suggestions is appreciated!!