ISSN:
1573-8876
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Conditions are obtained for the almost periodicity (or almost automorphy) of an abstract functionf (t) on a group G satisfying the difference equationsf (tγ)−f(t)=gγ(t), where, for each γ ∃ G, the function ℕ(t) is almost periodic (or almost automorphic) (the difference problem). The investigation of the almost periodicity of the integral $$\int\limits_0^x {\varphi (t){\text{ }}dt}$$ of an almost periodic function ϕ(t) on the real line R is reduced to a study of the difference problem.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01410036
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