Linear Convolution Integral Equations with Asymptotically Almost Periodic Solutions

On asymptotically almost periodic solutions of a convolution equation

“…Hence, it is possible to study (6.1) for p E ^¿i, and x, / G <$'. Jordan, Madych and Wheeler [4] study (6.1) for p belonging to a class of distributions which satisfy what they call "Property H". By [11, p. 201], this class is exactly ^¿i.…”

“…The case when Z is empty is fairly well known, but when Z is nonempty there still remain some questions to be answered. See, e.g., the discussions in [3], [4], [5] and [7]. This paper has been motivated by two facts.…”