Properties of a distribution function at infinite

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Homework Statement


Let's consider a distribution function [itex]f=f(t,x^i,E,p^i)[/itex]. Is it true that
[itex]\mathop {\lim }\limits_{p \to\infty}p^{\alpha}f=0[/itex] [itex]\forall\alpha\in R[/itex]?

Homework Equations

The Attempt at a Solution


I think so, not sure though. Thanks in advance!
 
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