
#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] 


Register to reply 
Related Discussions  
borel fields and borel sets  Set Theory, Logic, Probability, Statistics  2  
I need inspiration toshow that onedimensional subsets of Borel sets in R^2 are Borel  Set Theory, Logic, Probability, Statistics  0  
Can Borel resummation be applied to integrals ?  Calculus  1  
"Borel resummation" is useful?  Calculus  0  
Borel "resummation"...  Calculus  0 