Almost periodic solutions of Poisson's equation

Yasutaka Sibuya
1971 Proceedings of the American Mathematical Society  
It is well known that if /(/) is almost periodic with respect to a real variable t, and if F(,t)=f'f(s)ds is bounded for -« <t < oo ; then F(t) is also almost periodic in t. We shall prove a similar result for Poisson's equation. f u(P)A<p(P)dP = f f(P)<p(P)dP
doi:10.1090/s0002-9939-1971-0285816-9 fatcat:jmtsyrujivcufcmckgzwm63qxu