Asymptotically almost periodic distributions

Abstract

In this work we extend to the space of Schwartz' distributions the notion of asymptotic almost periodicity of M. Frechet. The main justification for the introduction of this concept is the fact that for certain differential equations in distributions the existence of an asymptotic almost periodic (distribution) solution implies the existence of an almost periodic (distribution) solution, as an example shows

Keywords:

• Almost periodic function
• bounded distribution
• asymptotically almost periodic distribution
• AMS Subject classification
• 46 F 05

AMS(MOS)::

• 46F05
• 34K30
• 39B70