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The convergence of rearrangements of series of functions

✍ Scribed by E. M. Nikishin

Publisher: SP MAIK Nauka/Interperiodica
Year: 1967
Tongue: English
Weight: 177 KB
Volume: 1
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01268055

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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