Register to reply

Borel resummation of an integral

by zetafunction
Tags: borel, integral, resummation
Share this thread:
zetafunction
#1
Jan7-11, 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^{ix-t}}{\Gamma (x+1)} [/tex]
Phys.Org News Partner Science news on Phys.org
NASA team lays plans to observe new worlds
IHEP in China has ambitions for Higgs factory
Spinach could lead to alternative energy more powerful than Popeye

Register to reply

Related Discussions
Borel fields and borel sets Set Theory, Logic, Probability, Statistics 2
I need inspiration toshow that one-dimensional 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