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MathNerd
Apr16-04, 08:48 AM
I'm looking for an integral transform, T, Such that given

g(s) = \int^{ \infty }_{1} \frac { f(x) } { x^{s+1} } dx

Both sides can be transformed so that

T[g(s)](x) = T[\int^{ \infty }_{1} \frac { f(x) } { x^{s+1} } dx](x)

T[g(s)](x) = f(x)

Does anybody know of an integral transform that does this?

Thanks in advance! :smile: