ISSN:
1573-8876
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The question of the convergence of functional series everywhere in the segment [0, 1] is considered. Let F=f be the set of such functions in [0, 1] for each of which there is a transposition of the series ∑ k=1 ∞ fk(x), which converges to it everywhere in [0, 1]. An example of a series is constructed such that the set F consists just of an identical zero, but ∑ k=1 ∞ |f k (x 0)ü=,∞(x0 ε [0,1]) for any point of the segment [0, 1].
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01158640
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