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On the convergence of series of translated functions and applications

✍ Scribed by Adriano B.L. Tort

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 206 KB
Volume: 21
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2007.05.014

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✦ Synopsis

The present work presents some necessary and sufficient conditions for the convergence to a periodic function of a special kind of function series defined by ∞ j=0 f (tjd), where f : R → R + ∪ {0} with f (t) = 0 for t < 0. It also discusses some biological applications that can be derived from these results, by considering each f (tjd) as describing an isolated effect related to an application at time jd, and the sum of them as an accumulated effect.

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