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Borel resummation of an integral 
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#1
Jan711, 03:48 AM

P: 399

let be the integral [tex] \int_{0}^{\infty}dxf(x)e^{ix} [/tex]
from the technique of Borel resummation applied to series , would it be corect to assign the 'Borel resummation' for the integral above as [tex] \int_{0}^{\infty}\int_{0}^{\infty}dtdx \frac{t^{x}f(x)e^{ixt}}{\Gamma (x+1)} [/tex] 


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